8351113007952 has 800 divisors, whose sum is σ = 29365304500224. Its totient is φ = 2256526771200.

The previous prime is 8351113007893. The next prime is 8351113007971. The reversal of 8351113007952 is 2597003111538.

8351113007952 is a `hidden beast` number, since 8 + 3 + 511 + 13 + 0 + 0 + 79 + 52 = 666.

It is a super-3 number, since 3×8351113007952³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8351113007898 and 8351113007907.

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, 4521446293 + ... + 4521448139.

Almost surely, 2^{8351113007952} 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 8351113007952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682652250112).

8351113007952 is an abundant number, since it is smaller than the sum of its proper divisors (21014191492272).

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

8351113007952 is a wasteful number, since it uses less digits than its factorization.

8351113007952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 8351113007952 in words is "eight trillion, three hundred fifty-one billion, one hundred thirteen million, seven thousand, nine hundred fifty-two".