91608316671744 has 144 divisors (see below), whose sum is σ = 273945752186400. Its totient is φ = 30193003044864.

The previous prime is 91608316671743. The next prime is 91608316671757. The reversal of 91608316671744 is 44717661380619.

91608316671744 is a `hidden beast` number, since 9 + 1 + 608 + 3 + 1 + 6 + 6 + 7 + 17 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91608316671743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73842799 + ... + 75073134.

It is an arithmetic number, because the mean of its divisors is an integer number (1902401056850).

Almost surely, 2^{91608316671744} is an apocalyptic number.

It is an amenable number.

91608316671744 is an abundant number, since it is smaller than the sum of its proper divisors (182337435514656).

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

91608316671744 is a wasteful number, since it uses less digits than its factorization.

91608316671744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148916047 (or 148916027 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 91608316671744 in words is "ninety-one trillion, six hundred eight billion, three hundred sixteen million, six hundred seventy-one thousand, seven hundred forty-four".