23323973660100 has 567 divisors, whose sum is σ = 78547813100631. Its totient is φ = 6008658278400.

The previous prime is 23323973660059. The next prime is 23323973660237. The reversal of 23323973660100 is 106637932332.

The square root of 23323973660100 is 4829490.

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

23323973660100 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 3 + 9 + 7 + 36 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6585598002564 + 16738375657536 = 2566242^2 + 4091256^2 .

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 188 ways as a sum of consecutive naturals, for example, 40422831012 + ... + 40422831588.

Almost surely, 2^{23323973660100} is an apocalyptic number.

23323973660100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23323973660100 is the 4829490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23323973660100

23323973660100 is an abundant number, since it is smaller than the sum of its proper divisors (55223839440531).

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

23323973660100 is an frugal number, since it uses more digits than its factorization.

23323973660100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 23323973660100 in words is "twenty-three trillion, three hundred twenty-three billion, nine hundred seventy-three million, six hundred sixty thousand, one hundred".