21964046912 has 56 divisors (see below), whose sum is σ = 45133320960. Its totient is φ = 10592637440.

The previous prime is 21964046849. The next prime is 21964046921.

21964046912 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2019473 + ... + 2030319.

It is an arithmetic number, because the mean of its divisors is an integer number (805952160).

Almost surely, 2^21964046912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21964046912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22566660480).

21964046912 is an abundant number, since it is smaller than the sum of its proper divisors (23169274048).

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

21964046912 is a wasteful number, since it uses less digits than its factorization.

21964046912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11979 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 21964046912 in words is "twenty-one billion, nine hundred sixty-four million, forty-six thousand, nine hundred twelve".