8179294116000 has 768 divisors, whose sum is σ = 34131319971840. Its totient is φ = 1666964275200.

The previous prime is 8179294115957. The next prime is 8179294116043. The reversal of 8179294116000 is 6114929718.

It is an interprime number because it is at equal distance from previous prime (8179294115957) and next prime (8179294116043).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26981269 + ... + 27282731.

It is an arithmetic number, because the mean of its divisors is an integer number (44441822880).

Almost surely, 2^{8179294116000} is an apocalyptic number.

8179294116000 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 8179294116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17065659985920).

8179294116000 is an abundant number, since it is smaller than the sum of its proper divisors (25952025855840).

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

8179294116000 is a wasteful number, since it uses less digits than its factorization.

8179294116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301534 (or 301516 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 8179294116000 in words is "eight trillion, one hundred seventy-nine billion, two hundred ninety-four million, one hundred sixteen thousand".