23877814464 has 252 divisors, whose sum is σ = 80630877600. Its totient is φ = 6735246336.

The previous prime is 23877814451. The next prime is 23877814489. The reversal of 23877814464 is 46441877832.

23877814464 is a `hidden beast` number, since 2 + 38 + 77 + 81 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23877814464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2224342 + ... + 2235050.

It is an arithmetic number, because the mean of its divisors is an integer number (319963800).

Almost surely, 2^23877814464 is an apocalyptic number.

23877814464 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 23877814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40315438800).

23877814464 is an abundant number, since it is smaller than the sum of its proper divisors (56753063136).

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

23877814464 is a wasteful number, since it uses less digits than its factorization.

23877814464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10820 (or 10800 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 23877814464 in words is "twenty-three billion, eight hundred seventy-seven million, eight hundred fourteen thousand, four hundred sixty-four".