10011401664 has 56 divisors (see below), whose sum is σ = 28896551808. Its totient is φ = 3033757440.

The previous prime is 10011401633. The next prime is 10011401713. The reversal of 10011401664 is 46610411001.

10011401664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2368012 + ... + 2372235.

Almost surely, 2^10011401664 is an apocalyptic number.

It is an amenable number.

10011401664 is an abundant number, since it is smaller than the sum of its proper divisors (18885150144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011401664 is a wasteful number, since it uses less digits than its factorization.

10011401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740273 (or 4740263 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10011401664 its reverse (46610411001), we get a palindrome (56621812665).

The spelling of 10011401664 in words is "ten billion, eleven million, four hundred one thousand, six hundred sixty-four".