12149921664 has 96 divisors (see below), whose sum is σ = 36168373800. Its totient is φ = 3910308864.

The previous prime is 12149921611. The next prime is 12149921669. The reversal of 12149921664 is 46612994121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12149921669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148434 + ... + 215249.

Almost surely, 2^12149921664 is an apocalyptic number.

It is an amenable number.

12149921664 is an abundant number, since it is smaller than the sum of its proper divisors (24018452136).

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

12149921664 is a wasteful number, since it uses less digits than its factorization.

12149921664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363732 (or 363717 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 12149921664 in words is "twelve billion, one hundred forty-nine million, nine hundred twenty-one thousand, six hundred sixty-four".