51414463741184 has 72 divisors (see below), whose sum is σ = 107112912712512. Its totient is φ = 24584306503680.

The previous prime is 51414463741097. The next prime is 51414463741187. The reversal of 51414463741184 is 48114736441415.

51414463741184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51414463741187) 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 7 ways as a sum of consecutive naturals, for example, 26884604 + ... + 28733444.

Almost surely, 2^{51414463741184} 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 51414463741184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53556456356256).

51414463741184 is an abundant number, since it is smaller than the sum of its proper divisors (55698448971328).

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

51414463741184 is a wasteful number, since it uses less digits than its factorization.

51414463741184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853603 (or 1853589 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 53.

The spelling of 51414463741184 in words is "fifty-one trillion, four hundred fourteen billion, four hundred sixty-three million, seven hundred forty-one thousand, one hundred eighty-four".