91071168400 has 135 divisors (see below), whose sum is σ = 222769441713. Its totient is φ = 35779036800.

The previous prime is 91071168389. The next prime is 91071168413. The reversal of 91071168400 is 486117019.

The square root of 91071168400 is 301780.

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

It can be written as a sum of positive squares in only one way, i.e., 32785620624 + 58285547776 = 181068^2 + 241424^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91071168400.

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, 476812305 + ... + 476812495.

Almost surely, 2^91071168400 is an apocalyptic number.

91071168400 is the 301780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91071168400

91071168400 is an abundant number, since it is smaller than the sum of its proper divisors (131698273313).

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

91071168400 is an equidigital number, since it uses as much as digits as its factorization.

91071168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 91071168400 in words is "ninety-one billion, seventy-one million, one hundred sixty-eight thousand, four hundred".