51045130411344 has 60 divisors (see below), whose sum is σ = 147781519809300. Its totient is φ = 16428317832192.

The previous prime is 51045130411291. The next prime is 51045130411361. The reversal of 51045130411344 is 44311403154015.

51045130411344 is a `hidden beast` number, since 5 + 1 + 0 + 4 + 5 + 1 + 304 + 1 + 1 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18848448590400 + 32196681820944 = 4341480^2 + 5674212^2 .

It is a super-2 number, since 2×51045130411344² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51045130411299 and 51045130411308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6111721209 + ... + 6111729560.

It is an arithmetic number, because the mean of its divisors is an integer number (2463025330155).

Almost surely, 2^{51045130411344} is an apocalyptic number.

It is an amenable number.

51045130411344 is an abundant number, since it is smaller than the sum of its proper divisors (96736389397956).

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

51045130411344 is a wasteful number, since it uses less digits than its factorization.

51045130411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12223450812 (or 12223450803 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 51045130411344 its reverse (44311403154015), we get a palindrome (95356533565359).

The spelling of 51045130411344 in words is "fifty-one trillion, forty-five billion, one hundred thirty million, four hundred eleven thousand, three hundred forty-four".