23416800264 has 192 divisors, whose sum is σ = 75279335040. Its totient is φ = 6482350080.

The previous prime is 23416800257. The next prime is 23416800269. The reversal of 23416800264 is 46200861432.

23416800264 is a `hidden beast` number, since 234 + 168 + 0 + 0 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23416800269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986989 + ... + 1010435.

It is an arithmetic number, because the mean of its divisors is an integer number (392079870).

Almost surely, 2^23416800264 is an apocalyptic number.

23416800264 is a gapful number since it is divisible by the number (24) 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 23416800264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37639667520).

23416800264 is an abundant number, since it is smaller than the sum of its proper divisors (51862534776).

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

23416800264 is a wasteful number, since it uses less digits than its factorization.

23416800264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23580 (or 23573 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 23416800264 in words is "twenty-three billion, four hundred sixteen million, eight hundred thousand, two hundred sixty-four".