91164803241600 has 1152 divisors, whose sum is σ = 382834732812480. Its totient is φ = 20407998873600.

The previous prime is 91164803241497. The next prime is 91164803241601. The reversal of 91164803241600 is 614230846119.

91164803241600 is a `hidden beast` number, since 9 + 1 + 1 + 6 + 4 + 8 + 0 + 32 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×91164803241600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (91164803241601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 285277107 + ... + 285596493.

Almost surely, 2^{91164803241600} is an apocalyptic number.

91164803241600 is a gapful number since it is divisible by the number (90) 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 91164803241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191417366406240).

91164803241600 is an abundant number, since it is smaller than the sum of its proper divisors (291669929570880).

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

91164803241600 is a wasteful number, since it uses less digits than its factorization.

91164803241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319498 (or 319478 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 91164803241600 in words is "ninety-one trillion, one hundred sixty-four billion, eight hundred three million, two hundred forty-one thousand, six hundred".