8292399712416 has 72 divisors (see below), whose sum is σ = 23810458482720. Its totient is φ = 2737296982656.

The previous prime is 8292399712381. The next prime is 8292399712469. The reversal of 8292399712416 is 6142179932928.

8292399712416 is a `hidden beast` number, since 8 + 2 + 92 + 39 + 97 + 12 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139742446 + ... + 139801773.

It is an arithmetic number, because the mean of its divisors is an integer number (330700812260).

Almost surely, 2^{8292399712416} is an apocalyptic number.

It is an amenable number.

8292399712416 is an abundant number, since it is smaller than the sum of its proper divisors (15518058770304).

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

8292399712416 is a wasteful number, since it uses less digits than its factorization.

8292399712416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279544338 (or 279544327 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 8292399712416 in words is "eight trillion, two hundred ninety-two billion, three hundred ninety-nine million, seven hundred twelve thousand, four hundred sixteen".