3164470978816 has 135 divisors (see below), whose sum is σ = 7372154807241. Its totient is φ = 1355604139008.

The previous prime is 3164470978789. The next prime is 3164470978843. The reversal of 3164470978816 is 6188790744613.

The square root of 3164470978816 is 1778896.

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

It is an interprime number because it is at equal distance from previous prime (3164470978789) and next prime (3164470978843).

It can be written as a sum of positive squares in only one way, i.e., 135200348416 + 3029270630400 = 367696^2 + 1740480^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1394653330 + ... + 1394655598.

Almost surely, 2^{3164470978816} is an apocalyptic number.

3164470978816 is the 1778896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3164470978816

3164470978816 is an abundant number, since it is smaller than the sum of its proper divisors (4207683828425).

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

3164470978816 is an frugal number, since it uses more digits than its factorization.

3164470978816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 64.

Multiplying 3164470978816 by its sum of digits (64), we get a square (202526142644224 = 14231168²).

3164470978816 divided by its sum of digits (64) gives a square (49444859044 = 222362²).

The spelling of 3164470978816 in words is "three trillion, one hundred sixty-four billion, four hundred seventy million, nine hundred seventy-eight thousand, eight hundred sixteen".