3159083700864 has 2304 divisors, whose sum is σ = 12767359812480. Its totient is φ = 767851757568.

The previous prime is 3159083700853. The next prime is 3159083700901. The reversal of 3159083700864 is 4680073809513.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3159083700864.

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 287 ways as a sum of consecutive naturals, for example, 27956492872 + ... + 27956492984.

Almost surely, 2^{3159083700864} is an apocalyptic number.

3159083700864 is a gapful number since it is divisible by the number (34) 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 3159083700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383679906240).

3159083700864 is an abundant number, since it is smaller than the sum of its proper divisors (9608276111616).

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

3159083700864 is a wasteful number, since it uses less digits than its factorization.

3159083700864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3159083700864 in words is "three trillion, one hundred fifty-nine billion, eighty-three million, seven hundred thousand, eight hundred sixty-four".