23010508643328 has 352 divisors, whose sum is σ = 71314472056320. Its totient is φ = 7315470581760.

The previous prime is 23010508643281. The next prime is 23010508643357. The reversal of 23010508643328 is 82334680501032.

23010508643328 is a `hidden beast` number, since 2 + 30 + 1 + 0 + 508 + 64 + 33 + 28 = 666.

It is a Cunningham number, because it is equal to 4796927²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220606548 + ... + 220710828.

Almost surely, 2^{23010508643328} 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 23010508643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35657236028160).

23010508643328 is an abundant number, since it is smaller than the sum of its proper divisors (48303963412992).

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

23010508643328 is a wasteful number, since it uses less digits than its factorization.

23010508643328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104680 (or 104656 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 23010508643328 in words is "twenty-three trillion, ten billion, five hundred eight million, six hundred forty-three thousand, three hundred twenty-eight".