91298694816 has 288 divisors, whose sum is σ = 312829171200. Its totient is φ = 24673559040.

The previous prime is 91298694779. The next prime is 91298694821. The reversal of 91298694816 is 61849689219.

91298694816 is a `hidden beast` number, since 9 + 1 + 2 + 98 + 69 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31063075 + ... + 31066013.

It is an arithmetic number, because the mean of its divisors is an integer number (1086212400).

Almost surely, 2^91298694816 is an apocalyptic number.

91298694816 is a gapful number since it is divisible by the number (96) 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 91298694816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156414585600).

91298694816 is an abundant number, since it is smaller than the sum of its proper divisors (221530476384).

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

91298694816 is a wasteful number, since it uses less digits than its factorization.

91298694816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3781 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The spelling of 91298694816 in words is "ninety-one billion, two hundred ninety-eight million, six hundred ninety-four thousand, eight hundred sixteen".