8131815072 has 192 divisors, whose sum is σ = 24260544000. Its totient is φ = 2649314304.

The previous prime is 8131815031. The next prime is 8131815103. The reversal of 8131815072 is 2705181318.

It is a super-2 number, since 2×8131815072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7439358 + ... + 7440450.

It is an arithmetic number, because the mean of its divisors is an integer number (126357000).

Almost surely, 2^8131815072 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 8131815072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12130272000).

8131815072 is an abundant number, since it is smaller than the sum of its proper divisors (16128728928).

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

8131815072 is a wasteful number, since it uses less digits than its factorization.

8131815072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 8131815072 is about 90176.5771805517. The cubic root of 8131815072 is about 2010.9248049937.

The spelling of 8131815072 in words is "eight billion, one hundred thirty-one million, eight hundred fifteen thousand, seventy-two".