8152422036192 has 960 divisors, whose sum is σ = 29378871244800. Its totient is φ = 2168361861120.

The previous prime is 8152422036139. The next prime is 8152422036263. The reversal of 8152422036192 is 2916302242518.

8152422036192 is a `hidden beast` number, since 8 + 1 + 5 + 2 + 4 + 2 + 20 + 3 + 619 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1787417592 + ... + 1787422152.

It is an arithmetic number, because the mean of its divisors is an integer number (30602990880).

Almost surely, 2^{8152422036192} 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 8152422036192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14689435622400).

8152422036192 is an abundant number, since it is smaller than the sum of its proper divisors (21226449208608).

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

8152422036192 is a wasteful number, since it uses less digits than its factorization.

8152422036192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 8152422036192 in words is "eight trillion, one hundred fifty-two billion, four hundred twenty-two million, thirty-six thousand, one hundred ninety-two".