91084497504 has 1152 divisors, whose sum is σ = 346567237632. Its totient is φ = 20565135360.

The previous prime is 91084497481. The next prime is 91084497509. The reversal of 91084497504 is 40579448019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91084497509) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1359470079 + ... + 1359470145.

It is an arithmetic number, because the mean of its divisors is an integer number (300839616).

Almost surely, 2^91084497504 is an apocalyptic number.

91084497504 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 91084497504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173283618816).

91084497504 is an abundant number, since it is smaller than the sum of its proper divisors (255482740128).

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

91084497504 is a wasteful number, since it uses less digits than its factorization.

91084497504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 91084497504 in words is "ninety-one billion, eighty-four million, four hundred ninety-seven thousand, five hundred four".