3181970980864 has 207 divisors, whose sum is σ = 6995519424117. Its totient is φ = 1446682558464.

The previous prime is 3181970980847. The next prime is 3181970980871. The reversal of 3181970980864 is 4680890791813.

The square root of 3181970980864 is 1783808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 470705766400 + 2711265214464 = 686080^2 + 1646592^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3181970980796 and 3181970980805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47492104159 + ... + 47492104225.

Almost surely, 2^{3181970980864} is an apocalyptic number.

3181970980864 is the 1783808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3181970980864

3181970980864 is an abundant number, since it is smaller than the sum of its proper divisors (3813548443253).

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

3181970980864 is an frugal number, since it uses more digits than its factorization.

3181970980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 64.

Multiplying 3181970980864 by its sum of digits (64), we get a square (203646142775296 = 14270464²).

3181970980864 divided by its sum of digits (64) gives a square (49718296576 = 222976²).

The spelling of 3181970980864 in words is "three trillion, one hundred eighty-one billion, nine hundred seventy million, nine hundred eighty thousand, eight hundred sixty-four".