12029681664 has 672 divisors, whose sum is σ = 46943979264. Its totient is φ = 2866544640.

The previous prime is 12029681663. The next prime is 12029681683. The reversal of 12029681664 is 46618692021.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12029681663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73801647 + ... + 73801809.

It is an arithmetic number, because the mean of its divisors is an integer number (69857112).

Almost surely, 2^12029681664 is an apocalyptic number.

12029681664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12029681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23471989632).

12029681664 is an abundant number, since it is smaller than the sum of its proper divisors (34914297600).

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

12029681664 is a wasteful number, since it uses less digits than its factorization.

12029681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12029681664 in words is "twelve billion, twenty-nine million, six hundred eighty-one thousand, six hundred sixty-four".