91050304128 has 384 divisors, whose sum is σ = 287223693120. Its totient is φ = 25476562944.

The previous prime is 91050304117. The next prime is 91050304139. The reversal of 91050304128 is 82140305019.

It is an interprime number because it is at equal distance from previous prime (91050304117) and next prime (91050304139).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270178776 + ... + 270179112.

Almost surely, 2^91050304128 is an apocalyptic number.

91050304128 is a gapful number since it is divisible by the number (98) 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 91050304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143611846560).

91050304128 is an abundant number, since it is smaller than the sum of its proper divisors (196173388992).

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

91050304128 is a wasteful number, since it uses less digits than its factorization.

91050304128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 91050304128 in words is "ninety-one billion, fifty million, three hundred four thousand, one hundred twenty-eight".