91699316352576 has 189 divisors, whose sum is σ = 264349405036353. Its totient is φ = 30391849589760.

The previous prime is 91699316352557. The next prime is 91699316352587. The reversal of 91699316352576 is 67525361399619.

The square root of 91699316352576 is 9575976.

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

91699316352576 is a `hidden beast` number, since 9 + 1 + 6 + 9 + 9 + 3 + 16 + 35 + 2 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80806148122176 + 10893168230400 = 8989224^2 + 3300480^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43896272940 + ... + 43896275028.

Almost surely, 2^{91699316352576} is an apocalyptic number.

91699316352576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

91699316352576 is the 9575976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91699316352576

91699316352576 is an abundant number, since it is smaller than the sum of its proper divisors (172650088683777).

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

91699316352576 is an frugal number, since it uses more digits than its factorization.

91699316352576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 2285 counting only the distinct ones).

The product of its digits is 496011600, while the sum is 72.

The spelling of 91699316352576 in words is "ninety-one trillion, six hundred ninety-nine billion, three hundred sixteen million, three hundred fifty-two thousand, five hundred seventy-six".