3158396706816 has 1008 divisors, whose sum is σ = 10611629263872. Its totient is φ = 933060280320.

The previous prime is 3158396706797. The next prime is 3158396706887. The reversal of 3158396706816 is 6186076938513.

3158396706816 is a `hidden beast` number, since 31 + 583 + 9 + 6 + 7 + 0 + 6 + 8 + 16 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24869265345 + ... + 24869265471.

It is an arithmetic number, because the mean of its divisors is an integer number (10527409984).

Almost surely, 2^{3158396706816} is an apocalyptic number.

3158396706816 is a gapful number since it is divisible by the number (36) 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 3158396706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305814631936).

3158396706816 is an abundant number, since it is smaller than the sum of its proper divisors (7453232557056).

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

3158396706816 is an equidigital number, since it uses as much as digits as its factorization.

3158396706816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 3158396706816 in words is "three trillion, one hundred fifty-eight billion, three hundred ninety-six million, seven hundred six thousand, eight hundred sixteen".