51407314712064 has 120 divisors (see below), whose sum is σ = 148871360029392. Its totient is φ = 17077287260160.

The previous prime is 51407314712029. The next prime is 51407314712069. The reversal of 51407314712064 is 46021741370415.

51407314712064 is a `hidden beast` number, since 5 + 1 + 407 + 31 + 4 + 7 + 1 + 206 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51407314712069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17687572 + ... + 20387859.

Almost surely, 2^{51407314712064} is an apocalyptic number.

It is an amenable number.

51407314712064 is an abundant number, since it is smaller than the sum of its proper divisors (97464045317328).

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

51407314712064 is a wasteful number, since it uses less digits than its factorization.

51407314712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38075748 (or 38075729 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 51407314712064 in words is "fifty-one trillion, four hundred seven billion, three hundred fourteen million, seven hundred twelve thousand, sixty-four".