51456155165415 has 512 divisors, whose sum is σ = 123588683366400. Its totient is φ = 19616721315840.

The previous prime is 51456155165411. The next prime is 51456155165477.

51456155165415 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 61 + 5 + 5 + 165 + 415 = 666.

51456155165415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51456155165415 - 2² = 51456155165411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51456155165411) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 22055787589 + ... + 22055789921.

It is an arithmetic number, because the mean of its divisors is an integer number (241384147200).

Almost surely, 2^{51456155165415} is an apocalyptic number.

51456155165415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51456155165415 is an abundant number, since it is smaller than the sum of its proper divisors (72132528200985).

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

51456155165415 is a wasteful number, since it uses less digits than its factorization.

51456155165415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3318 counting only the distinct ones).

The product of its digits is 9000000, while the sum is 54.

The spelling of 51456155165415 in words is "fifty-one trillion, four hundred fifty-six billion, one hundred fifty-five million, one hundred sixty-five thousand, four hundred fifteen".