8114198376960 has 960 divisors, whose sum is σ = 32094438824448. Its totient is φ = 1876871872512.

The previous prime is 8114198376931. The next prime is 8114198376989. The reversal of 8114198376960 is 696738914118.

8114198376960 is a `hidden beast` number, since 8 + 1 + 14 + 198 + 376 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (8114198376931) and next prime (8114198376989).

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6227319669 + ... + 6227320971.

Almost surely, 2^{8114198376960} is an apocalyptic number.

8114198376960 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 8114198376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047219412224).

8114198376960 is an abundant number, since it is smaller than the sum of its proper divisors (23980240447488).

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

8114198376960 is a wasteful number, since it uses less digits than its factorization.

8114198376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 8114198376960 in words is "eight trillion, one hundred fourteen billion, one hundred ninety-eight million, three hundred seventy-six thousand, nine hundred sixty".