23806434960 has 240 divisors, whose sum is σ = 99678084480. Its totient is φ = 4946780160.

The previous prime is 23806434943. The next prime is 23806434961. The reversal of 23806434960 is 6943460832.

23806434960 is a `hidden beast` number, since 23 + 80 + 64 + 3 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23806434961) 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, 159265 + ... + 270144.

It is an arithmetic number, because the mean of its divisors is an integer number (415325352).

Almost surely, 2^23806434960 is an apocalyptic number.

23806434960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23806434960 is an abundant number, since it is smaller than the sum of its proper divisors (75871649520).

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

23806434960 is a wasteful number, since it uses less digits than its factorization.

23806434960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429446 (or 429437 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 23806434960 in words is "twenty-three billion, eight hundred six million, four hundred thirty-four thousand, nine hundred sixty".