23150338155360 has 1152 divisors, whose sum is σ = 89877213740160. Its totient is φ = 5560812601344.

The previous prime is 23150338155359. The next prime is 23150338155367. The reversal of 23150338155360 is 6355183305132.

23150338155360 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 0 + 3 + 38 + 1 + 553 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23150338155367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7622763762 + ... + 7622766798.

It is an arithmetic number, because the mean of its divisors is an integer number (78018414705).

Almost surely, 2^{23150338155360} is an apocalyptic number.

23150338155360 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 23150338155360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44938606870080).

23150338155360 is an abundant number, since it is smaller than the sum of its proper divisors (66726875584800).

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

23150338155360 is a wasteful number, since it uses less digits than its factorization.

23150338155360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 23150338155360 in words is "twenty-three trillion, one hundred fifty billion, three hundred thirty-eight million, one hundred fifty-five thousand, three hundred sixty".