51456355365415 has 144 divisors (see below), whose sum is σ = 85106621794176. Its totient is φ = 29519711020800.

The previous prime is 51456355365353. The next prime is 51456355365439.

51456355365415 is nontrivially palindromic in base 10.

51456355365415 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51456355365415 - 2³⁷ = 51318916411943 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51456355365415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150584944 + ... + 150926266.

It is an arithmetic number, because the mean of its divisors is an integer number (591018206904).

Almost surely, 2^{51456355365415} is an apocalyptic number.

51456355365415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51456355365415 is a deficient number, since it is larger than the sum of its proper divisors (33650266428761).

51456355365415 is a wasteful number, since it uses less digits than its factorization.

51456355365415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341710 (or 341690 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 58.

The spelling of 51456355365415 in words is "fifty-one trillion, four hundred fifty-six billion, three hundred fifty-five million, three hundred sixty-five thousand, four hundred fifteen".