91236546320640 has 2304 divisors, whose sum is σ = 396378759168000. Its totient is φ = 17372534538240.

The previous prime is 91236546320599. The next prime is 91236546320681. The reversal of 91236546320640 is 4602364563219.

It is an interprime number because it is at equal distance from previous prime (91236546320599) and next prime (91236546320681).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7805327916 + ... + 7805339604.

It is an arithmetic number, because the mean of its divisors is an integer number (172039392000).

Almost surely, 2^{91236546320640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91236546320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198189379584000).

91236546320640 is an abundant number, since it is smaller than the sum of its proper divisors (305142212847360).

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

91236546320640 is a wasteful number, since it uses less digits than its factorization.

91236546320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11816 (or 11802 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 91236546320640 in words is "ninety-one trillion, two hundred thirty-six billion, five hundred forty-six million, three hundred twenty thousand, six hundred forty".