23134173968640 has 432 divisors, whose sum is σ = 86005972584000. Its totient is φ = 5284219207680.

The previous prime is 23134173968593. The next prime is 23134173968651. The reversal of 23134173968640 is 4686937143132.

It is a happy number.

It is a super-2 number, since 2×23134173968640² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282010830 + ... + 282092850.

It is an arithmetic number, because the mean of its divisors is an integer number (199087899500).

Almost surely, 2^{23134173968640} is an apocalyptic number.

23134173968640 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 23134173968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43002986292000).

23134173968640 is an abundant number, since it is smaller than the sum of its proper divisors (62871798615360).

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

23134173968640 is a wasteful number, since it uses less digits than its factorization.

23134173968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83558 (or 83537 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 23134173968640 in words is "twenty-three trillion, one hundred thirty-four billion, one hundred seventy-three million, nine hundred sixty-eight thousand, six hundred forty".