91656484513344 has 84 divisors (see below), whose sum is σ = 262719391453740. Its totient is φ = 30551855923200.

The previous prime is 91656484513327. The next prime is 91656484513397. The reversal of 91656484513344 is 44331548465619.

91656484513344 is a `hidden beast` number, since 9 + 1 + 6 + 5 + 6 + 4 + 84 + 513 + 34 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1632670617600 + 90023813895744 = 1277760^2 + 9488088^2 .

It is a super-2 number, since 2×91656484513344² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61005592 + ... + 62489960.

Almost surely, 2^{91656484513344} is an apocalyptic number.

It is an amenable number.

91656484513344 is an abundant number, since it is smaller than the sum of its proper divisors (171062906940396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91656484513344 is a wasteful number, since it uses less digits than its factorization.

91656484513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591588 (or 1591575 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 63.

The spelling of 91656484513344 in words is "ninety-one trillion, six hundred fifty-six billion, four hundred eighty-four million, five hundred thirteen thousand, three hundred forty-four".