23272571335104 has 672 divisors, whose sum is σ = 84797270405120. Its totient is φ = 5936434790400.

The previous prime is 23272571335061. The next prime is 23272571335159. The reversal of 23272571335104 is 40153317527232.

23272571335104 is a `hidden beast` number, since 2 + 3 + 2 + 72 + 57 + 13 + 3 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×23272571335104² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23272571335104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4125608124 + ... + 4125613764.

Almost surely, 2^{23272571335104} is an apocalyptic number.

23272571335104 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 23272571335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42398635202560).

23272571335104 is an abundant number, since it is smaller than the sum of its proper divisors (61524699070016).

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

23272571335104 is a wasteful number, since it uses less digits than its factorization.

23272571335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 23272571335104 in words is "twenty-three trillion, two hundred seventy-two billion, five hundred seventy-one million, three hundred thirty-five thousand, one hundred four".