23749056963072 has 1280 divisors, whose sum is σ = 85947367587840. Its totient is φ = 6411027087360.

The previous prime is 23749056963067. The next prime is 23749056963077. The reversal of 23749056963072 is 27036965094732.

23749056963072 is a `hidden beast` number, since 2 + 3 + 7 + 4 + 9 + 0 + 569 + 63 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (23749056963067) and next prime (23749056963077).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (23749056963077) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10448330128 + ... + 10448332400.

It is an arithmetic number, because the mean of its divisors is an integer number (67146380928).

Almost surely, 2^{23749056963072} 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 23749056963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42973683793920).

23749056963072 is an abundant number, since it is smaller than the sum of its proper divisors (62198310624768).

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

23749056963072 is an frugal number, since it uses more digits than its factorization.

23749056963072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 23749056963072 in words is "twenty-three trillion, seven hundred forty-nine billion, fifty-six million, nine hundred sixty-three thousand, seventy-two".