23638044672 has 624 divisors, whose sum is σ = 82433175552. Its totient is φ = 6688604160.

The previous prime is 23638044671. The next prime is 23638044709. The reversal of 23638044672 is 27644083632.

23638044672 is a `hidden beast` number, since 2 + 3 + 63 + 80 + 446 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23638044671) 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, 186126273 + ... + 186126399.

It is an arithmetic number, because the mean of its divisors is an integer number (132104448).

Almost surely, 2^23638044672 is an apocalyptic number.

23638044672 is a gapful number since it is divisible by the number (22) 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 23638044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41216587776).

23638044672 is an abundant number, since it is smaller than the sum of its proper divisors (58795130880).

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

23638044672 is a wasteful number, since it uses less digits than its factorization.

23638044672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 23638044672 in words is "twenty-three billion, six hundred thirty-eight million, forty-four thousand, six hundred seventy-two".