23753457681408 has 3168 divisors, whose sum is σ = 96342822051840. Its totient is φ = 5701557288960.

The previous prime is 23753457681397. The next prime is 23753457681419. The reversal of 23753457681408 is 80418675435732.

It is a happy number.

23753457681408 is a `hidden beast` number, since 2 + 3 + 7 + 53 + 4 + 576 + 8 + 1 + 4 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (23753457681397) and next prime (23753457681419).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 173382902716 + ... + 173382902852.

Almost surely, 2^{23753457681408} is an apocalyptic number.

23753457681408 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 23753457681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48171411025920).

23753457681408 is an abundant number, since it is smaller than the sum of its proper divisors (72589364370432).

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

23753457681408 is a wasteful number, since it uses less digits than its factorization.

23753457681408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 23753457681408 in words is "twenty-three trillion, seven hundred fifty-three billion, four hundred fifty-seven million, six hundred eighty-one thousand, four hundred eight".