91649085696 has 729 divisors, whose sum is σ = 332811888591. Its totient is φ = 24180129792.

The previous prime is 91649085629. The next prime is 91649085701. The reversal of 91649085696 is 69658094619.

The square root of 91649085696 is 302736.

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

91649085696 is a `hidden beast` number, since 9 + 1 + 6 + 490 + 8 + 56 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22963159296 + 68685926400 = 151536^2 + 262080^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1729228006 + ... + 1729228058.

Almost surely, 2^91649085696 is an apocalyptic number.

91649085696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

91649085696 is the 302736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91649085696

91649085696 is an abundant number, since it is smaller than the sum of its proper divisors (241162802895).

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

91649085696 is a wasteful number, since it uses less digits than its factorization.

91649085696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 91649085696 in words is "ninety-one billion, six hundred forty-nine million, eighty-five thousand, six hundred ninety-six".