391914812961 has 135 divisors (see below), whose sum is σ = 720144689121. Its totient is φ = 211758741936.

The previous prime is 391914812893. The next prime is 391914813001. The reversal of 391914812961 is 169218419193.

It is a happy number.

The square root of 391914812961 is 626031.

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

391914812961 is a `hidden beast` number, since 391 + 91 + 4 + 81 + 2 + 96 + 1 = 666.

It is not a de Polignac number, because 391914812961 - 2¹¹ = 391914810913 is a prime.

It is a super-2 number, since 2×391914812961² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 391914812898 and 391914812907.

It is not an unprimeable number, because it can be changed into a prime (391914812761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 749358846 + ... + 749359368.

Almost surely, 2^391914812961 is an apocalyptic number.

391914812961 is the 626031-st square number.

391914812961 is the 313016-th centered octagonal number.

It is an amenable number.

391914812961 is a deficient number, since it is larger than the sum of its proper divisors (328229876160).

391914812961 is an frugal number, since it uses more digits than its factorization.

391914812961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 552 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The spelling of 391914812961 in words is "three hundred ninety-one billion, nine hundred fourteen million, eight hundred twelve thousand, nine hundred sixty-one".