51114915476928 has 560 divisors, whose sum is σ = 161260163148320. Its totient is φ = 15876936645120.

The previous prime is 51114915476927. The next prime is 51114915476953. The reversal of 51114915476928 is 82967451941115.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

51114915476928 is a `hidden beast` number, since 5 + 1 + 1 + 1 + 4 + 9 + 1 + 547 + 69 + 28 = 666.

51114915476928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51114915476928² (a number of 28 digits) contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 51114915476928 = 4636³ + 37088³ = 20862³ + 34770³.

Its product of digits (21772800) is a multiple of the sum of its prime factors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51114915476927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 837949434018 + ... + 837949434078.

Almost surely, 2^{51114915476928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51114915476928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80630081574160).

51114915476928 is an abundant number, since it is smaller than the sum of its proper divisors (110145247671392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51114915476928 is an frugal number, since it uses more digits than its factorization.

51114915476928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 85 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 63.

The spelling of 51114915476928 in words is "fifty-one trillion, one hundred fourteen billion, nine hundred fifteen million, four hundred seventy-six thousand, nine hundred twenty-eight".