23972741671968 has 120 divisors (see below), whose sum is σ = 70505825144832. Its totient is φ = 7990612654464.

The previous prime is 23972741671903. The next prime is 23972741671993. The reversal of 23972741671968 is 86917614727932.

23972741671968 is a `hidden beast` number, since 2 + 3 + 9 + 7 + 274 + 167 + 196 + 8 = 666.

It is a super-2 number, since 2×23972741671968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 23972741671896 and 23972741671905.

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 19 ways as a sum of consecutive naturals, for example, 74818921 + ... + 75138647.

Almost surely, 2^{23972741671968} is an apocalyptic number.

It is an amenable number.

23972741671968 is an abundant number, since it is smaller than the sum of its proper divisors (46533083472864).

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

23972741671968 is a wasteful number, since it uses less digits than its factorization.

23972741671968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348676 (or 348659 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

The spelling of 23972741671968 in words is "twenty-three trillion, nine hundred seventy-two billion, seven hundred forty-one million, six hundred seventy-one thousand, nine hundred sixty-eight".