23149276800 has 192 divisors, whose sum is σ = 82113598560. Its totient is φ = 5698252800.

The previous prime is 23149276747. The next prime is 23149276807. The reversal of 23149276800 is 867294132.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (23149276807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32055 + ... + 217545.

Almost surely, 2^23149276800 is an apocalyptic number.

23149276800 is a gapful number since it is divisible by the number (20) 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 23149276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41056799280).

23149276800 is an abundant number, since it is smaller than the sum of its proper divisors (58964321760).

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

23149276800 is a wasteful number, since it uses less digits than its factorization.

23149276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185531 (or 185514 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 23149276800 in words is "twenty-three billion, one hundred forty-nine million, two hundred seventy-six thousand, eight hundred".