3190864117401 has 27 divisors (see below), whose sum is σ = 4621638861021. Its totient is φ = 2121437273184.

The previous prime is 3190864117393. The next prime is 3190864117409. The reversal of 3190864117401 is 1047114680913.

The square root of 3190864117401 is 1786299.

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

3190864117401 is a `hidden beast` number, since 3 + 1 + 90 + 86 + 411 + 74 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (3190864117393) and next prime (3190864117409).

It can be written as a sum of positive squares in 4 ways, for example, as 779750811225 + 2411113306176 = 883035^2 + 1552776^2 .

It is not a de Polignac number, because 3190864117401 - 2³ = 3190864117393 is a prime.

It is a super-2 number, since 2×3190864117401² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3190864117409) 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, 2984905095 + ... + 2984906163.

Almost surely, 2^{3190864117401} is an apocalyptic number.

3190864117401 is the 1786299-th square number.

3190864117401 is the 893150-th centered octagonal number.

It is an amenable number.

3190864117401 is a deficient number, since it is larger than the sum of its proper divisors (1430774743620).

3190864117401 is an frugal number, since it uses more digits than its factorization.

3190864117401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 3190864117401 in words is "three trillion, one hundred ninety billion, eight hundred sixty-four million, one hundred seventeen thousand, four hundred one".