23440943038968 has 288 divisors, whose sum is σ = 79540863161760. Its totient is φ = 6181520002560.

The previous prime is 23440943038951. The next prime is 23440943038979. The reversal of 23440943038968 is 86983034904432.

23440943038968 is a `hidden beast` number, since 23 + 4 + 40 + 9 + 430 + 3 + 89 + 68 = 666.

It is a super-2 number, since 2×23440943038968² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 491225446 + ... + 491273162.

It is an arithmetic number, because the mean of its divisors is an integer number (276183552645).

Almost surely, 2^{23440943038968} is an apocalyptic number.

23440943038968 is a gapful number since it is divisible by the number (28) 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 23440943038968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39770431580880).

23440943038968 is an abundant number, since it is smaller than the sum of its proper divisors (56099920122792).

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

23440943038968 is a wasteful number, since it uses less digits than its factorization.

23440943038968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58467 (or 58453 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 23440943038968 in words is "twenty-three trillion, four hundred forty billion, nine hundred forty-three million, thirty-eight thousand, nine hundred sixty-eight".