10645632401001 has 32 divisors (see below), whose sum is σ = 15574497576960. Its totient is φ = 6428549634624.

The previous prime is 10645632400993. The next prime is 10645632401009. The reversal of 10645632401001 is 10010423654601.

10645632401001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10645632400993) and next prime (10645632401009).

It is not a de Polignac number, because 10645632401001 - 2³ = 10645632400993 is a prime.

It is a super-2 number, since 2×10645632401001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10645632401009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10096731 + ... + 11101136.

It is an arithmetic number, because the mean of its divisors is an integer number (486703049280).

Almost surely, 2^{10645632401001} is an apocalyptic number.

It is an amenable number.

10645632401001 is a deficient number, since it is larger than the sum of its proper divisors (4928865175959).

10645632401001 is a wasteful number, since it uses less digits than its factorization.

10645632401001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21198125.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 10645632401001 in words is "ten trillion, six hundred forty-five billion, six hundred thirty-two million, four hundred one thousand, one".