84691111864401 has 18 divisors (see below), whose sum is σ = 142304113133442. Its totient is φ = 48394921065120.

The previous prime is 84691111864397. The next prime is 84691111864421. The reversal of 84691111864401 is 10446811119648.

84691111864401 is a `hidden beast` number, since 8 + 4 + 6 + 9 + 1 + 11 + 186 + 440 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56961661817025 + 27729450047376 = 7547295^2 + 5265876^2 .

It is not a de Polignac number, because 84691111864401 - 2² = 84691111864397 is a prime.

It is a super-2 number, since 2×84691111864401² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (84691111864421) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96021668340 + ... + 96021669221.

It is an arithmetic number, because the mean of its divisors is an integer number (7905784062969).

Almost surely, 2^{84691111864401} is an apocalyptic number.

It is an amenable number.

84691111864401 is a deficient number, since it is larger than the sum of its proper divisors (57613001269041).

84691111864401 is a wasteful number, since it uses less digits than its factorization.

84691111864401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192043337581 (or 192043337571 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 84691111864401 in words is "eighty-four trillion, six hundred ninety-one billion, one hundred eleven million, eight hundred sixty-four thousand, four hundred one".