51346812288744 has 320 divisors, whose sum is σ = 165013734124800. Its totient is φ = 14612611424256.

The previous prime is 51346812288743. The next prime is 51346812288769. The reversal of 51346812288744 is 44788221864315.

51346812288744 is a `hidden beast` number, since 5 + 1 + 3 + 468 + 1 + 22 + 88 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (51346812288743) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1896592392 + ... + 1896619464.

It is an arithmetic number, because the mean of its divisors is an integer number (515667919140).

Almost surely, 2^{51346812288744} is an apocalyptic number.

51346812288744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51346812288744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82506867062400).

51346812288744 is an abundant number, since it is smaller than the sum of its proper divisors (113666921836056).

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

51346812288744 is a wasteful number, since it uses less digits than its factorization.

51346812288744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28734 (or 28721 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 51346812288744 in words is "fifty-one trillion, three hundred forty-six billion, eight hundred twelve million, two hundred eighty-eight thousand, seven hundred forty-four".