12038664576 has 128 divisors (see below), whose sum is σ = 32733676800. Its totient is φ = 3919104000.

The previous prime is 12038664569. The next prime is 12038664611. The reversal of 12038664576 is 67546683021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2969751 + ... + 2973801.

It is an arithmetic number, because the mean of its divisors is an integer number (255731850).

Almost surely, 2^12038664576 is an apocalyptic number.

12038664576 is a gapful number since it is divisible by the number (16) 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 12038664576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16366838400).

12038664576 is an abundant number, since it is smaller than the sum of its proper divisors (20695012224).

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

12038664576 is a wasteful number, since it uses less digits than its factorization.

12038664576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 12038664576 in words is "twelve billion, thirty-eight million, six hundred sixty-four thousand, five hundred seventy-six".