10456422465401 has 16 divisors (see below), whose sum is σ = 11627610170688. Its totient is φ = 9323761272000.

The previous prime is 10456422465373. The next prime is 10456422465413.

10456422465401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10456422465401 - 2⁶ = 10456422465337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10456422465301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43861130 + ... + 44098883.

It is an arithmetic number, because the mean of its divisors is an integer number (726725635668).

Almost surely, 2^{10456422465401} is an apocalyptic number.

10456422465401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10456422465401 is a deficient number, since it is larger than the sum of its proper divisors (1171187705287).

10456422465401 is a wasteful number, since it uses less digits than its factorization.

10456422465401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87960232.

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 10456422465401 in words is "ten trillion, four hundred fifty-six billion, four hundred twenty-two million, four hundred sixty-five thousand, four hundred one".