23752145664192 has 448 divisors, whose sum is σ = 73213073141760. Its totient is φ = 6727621017600.

The previous prime is 23752145664179. The next prime is 23752145664239. The reversal of 23752145664192 is 29146654125732.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331841784 + ... + 331913352.

Almost surely, 2^{23752145664192} is an apocalyptic number.

23752145664192 is a gapful number since it is divisible by the number (22) 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 23752145664192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36606536570880).

23752145664192 is an abundant number, since it is smaller than the sum of its proper divisors (49460927477568).

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

23752145664192 is a wasteful number, since it uses less digits than its factorization.

23752145664192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71800 (or 71790 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The spelling of 23752145664192 in words is "twenty-three trillion, seven hundred fifty-two billion, one hundred forty-five million, six hundred sixty-four thousand, one hundred ninety-two".