91445760000 has 1365 divisors, whose sum is σ = 398550150471. Its totient is φ = 20901888000.

The previous prime is 91445759989. The next prime is 91445760013. The reversal of 91445760000 is 6754419.

The square root of 91445760000 is 302400.

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

91445760000 is a `hidden beast` number, since 9 + 1 + 4 + 45 + 7 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7169347584 + 84276412416 = 84672^2 + 290304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 13063679997 + ... + 13063680003.

Almost surely, 2^91445760000 is an apocalyptic number.

91445760000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

91445760000 is the 302400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91445760000

91445760000 is an abundant number, since it is smaller than the sum of its proper divisors (307104390471).

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

91445760000 is an frugal number, since it uses more digits than its factorization.

91445760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 91445760000 by its sum of digits (36), we get a square (3292047360000 = 1814400²).

91445760000 divided by its sum of digits (36) gives a square (2540160000 = 50400²).

The spelling of 91445760000 in words is "ninety-one billion, four hundred forty-five million, seven hundred sixty thousand".