23210746272 has 288 divisors, whose sum is σ = 80256863232. Its totient is φ = 6211510272.

The previous prime is 23210746213. The next prime is 23210746301. The reversal of 23210746272 is 27264701232.

It is a happy number.

23210746272 is a `hidden beast` number, since 2 + 3 + 21 + 0 + 7 + 4 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 7641138 + ... + 7644174.

It is an arithmetic number, because the mean of its divisors is an integer number (278669664).

Almost surely, 2^23210746272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23210746272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40128431616).

23210746272 is an abundant number, since it is smaller than the sum of its proper divisors (57046116960).

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

23210746272 is a wasteful number, since it uses less digits than its factorization.

23210746272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 23210746272 in words is "twenty-three billion, two hundred ten million, seven hundred forty-six thousand, two hundred seventy-two".