91004544000 has 528 divisors, whose sum is σ = 330428148336. Its totient is φ = 24084480000.

The previous prime is 91004543977. The next prime is 91004544019. The reversal of 91004544000 is 44540019.

It can be written as a sum of positive squares in 8 ways, for example, as 312016896 + 90692527104 = 17664^2 + 301152^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226943800 + ... + 226944200.

It is an arithmetic number, because the mean of its divisors is an integer number (625810887).

Almost surely, 2^91004544000 is an apocalyptic number.

91004544000 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 91004544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165214074168).

91004544000 is an abundant number, since it is smaller than the sum of its proper divisors (239423604336).

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

91004544000 is a wasteful number, since it uses less digits than its factorization.

91004544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 91004544000 in words is "ninety-one billion, four million, five hundred forty-four thousand".