23146076318400 has 252 divisors, whose sum is σ = 94018995016752. Its totient is φ = 5290531706880.

The previous prime is 23146076318357. The next prime is 23146076318423. The reversal of 23146076318400 is 481367064132.

23146076318400 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 6 + 0 + 7 + 631 + 8 + 4 + 0 + 0 = 666.

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

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

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, 114711087 + ... + 114912686.

Almost surely, 2^{23146076318400} is an apocalyptic number.

23146076318400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23146076318400 is an abundant number, since it is smaller than the sum of its proper divisors (70872918698352).

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

23146076318400 is a wasteful number, since it uses less digits than its factorization.

23146076318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229623808 (or 229623790 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 23146076318400 in words is "twenty-three trillion, one hundred forty-six billion, seventy-six million, three hundred eighteen thousand, four hundred".