91045491264 has 896 divisors, whose sum is σ = 342577643520. Its totient is φ = 23075684352.

The previous prime is 91045491263. The next prime is 91045491269. The reversal of 91045491264 is 46219454019.

91045491264 is a `hidden beast` number, since 91 + 0 + 4 + 549 + 12 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (91045491263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 716893569 + ... + 716893695.

It is an arithmetic number, because the mean of its divisors is an integer number (382341120).

Almost surely, 2^91045491264 is an apocalyptic number.

91045491264 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91045491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171288821760).

91045491264 is an abundant number, since it is smaller than the sum of its proper divisors (251532152256).

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

91045491264 is a wasteful number, since it uses less digits than its factorization.

91045491264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 91045491264 in words is "ninety-one billion, forty-five million, four hundred ninety-one thousand, two hundred sixty-four".