23145227256360 has 512 divisors, whose sum is σ = 78817100544000. Its totient is φ = 5388066816000.

The previous prime is 23145227256337. The next prime is 23145227256383. The reversal of 23145227256360 is 6365272254132.

It is an interprime number because it is at equal distance from previous prime (23145227256337) and next prime (23145227256383).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7611056440 + ... + 7611059480.

It is an arithmetic number, because the mean of its divisors is an integer number (153939649500).

Almost surely, 2^{23145227256360} is an apocalyptic number.

23145227256360 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 23145227256360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39408550272000).

23145227256360 is an abundant number, since it is smaller than the sum of its proper divisors (55671873287640).

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

23145227256360 is a wasteful number, since it uses less digits than its factorization.

23145227256360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 23145227256360 in words is "twenty-three trillion, one hundred forty-five billion, two hundred twenty-seven million, two hundred fifty-six thousand, three hundred sixty".