313184617641 has 165 divisors, whose sum is σ = 559945840061. Its totient is φ = 175154922936.

The previous prime is 313184617633. The next prime is 313184617649. The reversal of 313184617641 is 146716481313.

It is a happy number.

The square root of 313184617641 is 559629.

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

313184617641 is a `hidden beast` number, since 3 + 13 + 18 + 4 + 617 + 6 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (313184617633) and next prime (313184617649).

It is not a de Polignac number, because 313184617641 - 2³ = 313184617633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313184617649) by changing a digit.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 6663502480 + ... + 6663502526.

Almost surely, 2^313184617641 is an apocalyptic number.

313184617641 is the 559629-th square number.

313184617641 is the 279815-th centered octagonal number.

It is an amenable number.

313184617641 is a deficient number, since it is larger than the sum of its proper divisors (246761222420).

313184617641 is an frugal number, since it uses more digits than its factorization.

313184617641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 57 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 313184617641 in words is "three hundred thirteen billion, one hundred eighty-four million, six hundred seventeen thousand, six hundred forty-one".