10446264401 has 16 divisors (see below), whose sum is σ = 10876239360. Its totient is φ = 10022453760.

The previous prime is 10446264347. The next prime is 10446264403.

10446264401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10446264401 - 2⁶ = 10446264337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10446264403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1956131 + ... + 1961463.

It is an arithmetic number, because the mean of its divisors is an integer number (679764960).

Almost surely, 2^10446264401 is an apocalyptic number.

It is an amenable number.

10446264401 is a deficient number, since it is larger than the sum of its proper divisors (429974959).

10446264401 is a wasteful number, since it uses less digits than its factorization.

10446264401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896.

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 10446264401 in words is "ten billion, four hundred forty-six million, two hundred sixty-four thousand, four hundred one".