10456444465401 has 64 divisors (see below), whose sum is σ = 16542504585216. Its totient is φ = 5802129792000.

The previous prime is 10456444465351. The next prime is 10456444465409.

10456444465401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10456444465401 - 2¹⁹ = 10456443941113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10456444465409) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 112934076 + ... + 113026626.

It is an arithmetic number, because the mean of its divisors is an integer number (258476634144).

Almost surely, 2^{10456444465401} is an apocalyptic number.

10456444465401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10456444465401 is a deficient number, since it is larger than the sum of its proper divisors (6086060119815).

10456444465401 is a wasteful number, since it uses less digits than its factorization.

10456444465401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98062.

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 10456444465401 in words is "ten trillion, four hundred fifty-six billion, four hundred forty-four million, four hundred sixty-five thousand, four hundred one".