8112946383360 has 2560 divisors, whose sum is σ = 37221617664000. Its totient is φ = 1628898066432.

The previous prime is 8112946383341. The next prime is 8112946383407. The reversal of 8112946383360 is 633836492118.

8112946383360 is a `hidden beast` number, since 8 + 11 + 294 + 6 + 3 + 8 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8112946383297 and 8112946383306.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14410206439 + ... + 14410207001.

It is an arithmetic number, because the mean of its divisors is an integer number (14539694400).

Almost surely, 2^{8112946383360} is an apocalyptic number.

8112946383360 is a gapful number since it is divisible by the number (80) 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 8112946383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18610808832000).

8112946383360 is an abundant number, since it is smaller than the sum of its proper divisors (29108671280640).

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

8112946383360 is a wasteful number, since it uses less digits than its factorization.

8112946383360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 8112946383360 in words is "eight trillion, one hundred twelve billion, nine hundred forty-six million, three hundred eighty-three thousand, three hundred sixty".