23434957745136 has 320 divisors, whose sum is σ = 77157971573760. Its totient is φ = 6671212047360.

The previous prime is 23434957745093. The next prime is 23434957745141. The reversal of 23434957745136 is 63154775943432.

23434957745136 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 4 + 9 + 577 + 4 + 51 + 3 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 4082031226 + ... + 4082036966.

It is an arithmetic number, because the mean of its divisors is an integer number (241118661168).

Almost surely, 2^{23434957745136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23434957745136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38578985786880).

23434957745136 is an abundant number, since it is smaller than the sum of its proper divisors (53723013828624).

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

23434957745136 is a wasteful number, since it uses less digits than its factorization.

23434957745136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10469 (or 10457 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 63.

The spelling of 23434957745136 in words is "twenty-three trillion, four hundred thirty-four billion, nine hundred fifty-seven million, seven hundred forty-five thousand, one hundred thirty-six".