91750833216 has 315 divisors, whose sum is σ = 316910121957. Its totient is φ = 26170905600.

The previous prime is 91750833151. The next prime is 91750833221. The reversal of 91750833216 is 61233805719.

The square root of 91750833216 is 302904.

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

91750833216 is a `hidden beast` number, since 91 + 7 + 508 + 33 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77119511616 + 14631321600 = 277704^2 + 120960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 152663316 + ... + 152663916.

Almost surely, 2^91750833216 is an apocalyptic number.

91750833216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

91750833216 is the 302904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91750833216

91750833216 is an abundant number, since it is smaller than the sum of its proper divisors (225159288741).

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

91750833216 is an frugal number, since it uses more digits than its factorization.

91750833216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 91750833216 in words is "ninety-one billion, seven hundred fifty million, eight hundred thirty-three thousand, two hundred sixteen".