23430913632000 has 1152 divisors, whose sum is σ = 101498339604480. Its totient is φ = 5210840678400.

The previous prime is 23430913631959. The next prime is 23430913632023. The reversal of 23430913632000 is 23631903432.

23430913632000 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 0 + 9 + 13 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223723647 + ... + 223828353.

Almost surely, 2^{23430913632000} is an apocalyptic number.

23430913632000 is a gapful number since it is divisible by the number (20) 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 23430913632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50749169802240).

23430913632000 is an abundant number, since it is smaller than the sum of its proper divisors (78067425972480).

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

23430913632000 is a wasteful number, since it uses less digits than its factorization.

23430913632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104791 (or 104761 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 23430913632000 in words is "twenty-three trillion, four hundred thirty billion, nine hundred thirteen million, six hundred thirty-two thousand".