23764156416 has 1080 divisors, whose sum is σ = 97898359104. Its totient is φ = 5449973760.

The previous prime is 23764156373. The next prime is 23764156433. The reversal of 23764156416 is 61465146732.

23764156416 is a `hidden beast` number, since 2 + 3 + 76 + 4 + 1 + 564 + 16 = 666.

It is a super-2 number, since 2×23764156416² (a number of 22 digits) contains 22 as substring.

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, 1033224181 + ... + 1033224203.

Almost surely, 2^23764156416 is an apocalyptic number.

23764156416 is a gapful number since it is divisible by the number (26) 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 23764156416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48949179552).

23764156416 is an abundant number, since it is smaller than the sum of its proper divisors (74134202688).

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

23764156416 is a wasteful number, since it uses less digits than its factorization.

23764156416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 23764156416 in words is "twenty-three billion, seven hundred sixty-four million, one hundred fifty-six thousand, four hundred sixteen".