23793149952 has 960 divisors, whose sum is σ = 89902612800. Its totient is φ = 6157762560.

The previous prime is 23793149929. The next prime is 23793149987. The reversal of 23793149952 is 25994139732.

23793149952 is a `hidden beast` number, since 2 + 3 + 79 + 31 + 499 + 52 = 666.

It is a super-2 number, since 2×23793149952² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3674160) is a multiple of the sum of its prime divisors (105).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 403273699 + ... + 403273757.

It is an arithmetic number, because the mean of its divisors is an integer number (93648555).

Almost surely, 2^23793149952 is an apocalyptic number.

23793149952 is a gapful number since it is divisible by the number (22) 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 23793149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44951306400).

23793149952 is an abundant number, since it is smaller than the sum of its proper divisors (66109462848).

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

23793149952 is a wasteful number, since it uses less digits than its factorization.

23793149952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 23793149952 in words is "twenty-three billion, seven hundred ninety-three million, one hundred forty-nine thousand, nine hundred fifty-two".