311876454681 has 45 divisors (see below), whose sum is σ = 512184234639. Its totient is φ = 188982525600.

The previous prime is 311876454667. The next prime is 311876454691. The reversal of 311876454681 is 186454678113.

The square root of 311876454681 is 558459.

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

311876454681 is a `hidden beast` number, since 3 + 1 + 18 + 7 + 6 + 4 + 546 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 308348094681 + 3528360000 = 555291^2 + 59400^2 .

It is not a de Polignac number, because 311876454681 - 2⁷ = 311876454553 is a prime.

It is a super-2 number, since 2×311876454681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311876454691) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 55284621 + ... + 55290261.

Almost surely, 2^311876454681 is an apocalyptic number.

311876454681 is the 558459-th square number.

311876454681 is the 279230-th centered octagonal number.

It is an amenable number.

311876454681 is a deficient number, since it is larger than the sum of its proper divisors (200307779958).

311876454681 is an frugal number, since it uses more digits than its factorization.

311876454681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11316 (or 5655 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 311876454681 in words is "three hundred eleven billion, eight hundred seventy-six million, four hundred fifty-four thousand, six hundred eighty-one".