21113010664416 has 72 divisors (see below), whose sum is σ = 65498317184664. Its totient is φ = 6397882018560.

The previous prime is 21113010664411. The next prime is 21113010664441. The reversal of 21113010664416 is 61446601031112.

21113010664416 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 3 + 0 + 1 + 0 + 6 + 644 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113010664411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3332227051 + ... + 3332233386.

It is an arithmetic number, because the mean of its divisors is an integer number (909698849787).

Almost surely, 2^{21113010664416} is an apocalyptic number.

It is an amenable number.

21113010664416 is an abundant number, since it is smaller than the sum of its proper divisors (44385306520248).

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

21113010664416 is a wasteful number, since it uses less digits than its factorization.

21113010664416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664460464 (or 6664460453 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 21113010664416 its reverse (61446601031112), we get a palindrome (82559611695528).

The spelling of 21113010664416 in words is "twenty-one trillion, one hundred thirteen billion, ten million, six hundred sixty-four thousand, four hundred sixteen".