10456465401 has 24 divisors (see below), whose sum is σ = 15526726280. Its totient is φ = 6776130816.

The previous prime is 10456465399. The next prime is 10456465423.

10456465401 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 646 + 5 + 4 + 0 + 1 = 666.

10456465401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6280721001 + 4175744400 = 79251^2 + 64620^2 .

It is not a de Polignac number, because 10456465401 - 2¹ = 10456465399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10456465441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349605 + ... + 378333.

Almost surely, 2^10456465401 is an apocalyptic number.

It is an amenable number.

10456465401 is a deficient number, since it is larger than the sum of its proper divisors (5070260879).

10456465401 is a wasteful number, since it uses less digits than its factorization.

10456465401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29865 (or 29862 counting only the distinct ones).

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

The spelling of 10456465401 in words is "ten billion, four hundred fifty-six million, four hundred sixty-five thousand, four hundred one".