3164808978081 has 27 divisors (see below), whose sum is σ = 4583301186009. Its totient is φ = 2104389801792.

The previous prime is 3164808978049. The next prime is 3164808978127. The reversal of 3164808978081 is 1808798084613.

The square root of 3164808978081 is 1778991.

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

3164808978081 is a `hidden beast` number, since 3 + 1 + 6 + 480 + 8 + 9 + 78 + 0 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2433927611025 + 730881367056 = 1560105^2 + 854916^2 .

It is not a de Polignac number, because 3164808978081 - 2⁵ = 3164808978049 is a prime.

It is a super-2 number, since 2×3164808978081² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3164808978181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3912000805 + ... + 3912001613.

Almost surely, 2^{3164808978081} is an apocalyptic number.

3164808978081 is the 1778991-st square number.

3164808978081 is the 889496-th centered octagonal number.

It is an amenable number.

3164808978081 is a deficient number, since it is larger than the sum of its proper divisors (1418492207928).

3164808978081 is an frugal number, since it uses more digits than its factorization.

3164808978081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 3164808978081 in words is "three trillion, one hundred sixty-four billion, eight hundred eight million, nine hundred seventy-eight thousand, eighty-one".