56461016465 has 32 divisors (see below), whose sum is σ = 78265889280. Its totient is φ = 38299968000.

The previous prime is 56461016419. The next prime is 56461016477.

56461016465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56461016465 - 2¹⁴ = 56461000081 is a prime.

It is a super-2 number, since 2×56461016465² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4550420 + ... + 4562810.

It is an arithmetic number, because the mean of its divisors is an integer number (2445809040).

Almost surely, 2^56461016465 is an apocalyptic number.

It is an amenable number.

56461016465 is a deficient number, since it is larger than the sum of its proper divisors (21804872815).

56461016465 is a wasteful number, since it uses less digits than its factorization.

56461016465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13793.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 56461016465 in words is "fifty-six billion, four hundred sixty-one million, sixteen thousand, four hundred sixty-five".