23956848400 has 135 divisors (see below), whose sum is σ = 58918893663. Its totient is φ = 9361094400.

The previous prime is 23956848397. The next prime is 23956848431. The reversal of 23956848400 is 484865932.

The square root of 23956848400 is 154780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 87834384 + 23869014016 = 9372^2 + 154496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 219787546 + ... + 219787654.

Almost surely, 2^23956848400 is an apocalyptic number.

23956848400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23956848400 is the 154780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23956848400

23956848400 is an abundant number, since it is smaller than the sum of its proper divisors (34962045263).

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

23956848400 is an equidigital number, since it uses as much as digits as its factorization.

23956848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 23956848400 by its sum of digits (49), we get a square (1173885571600 = 1083460²).

It can be divided in two parts, 23956 and 848400, that added together give a square (872356 = 934²).

The spelling of 23956848400 in words is "twenty-three billion, nine hundred fifty-six million, eight hundred forty-eight thousand, four hundred".