91409353200 has 480 divisors, whose sum is σ = 357916377600. Its totient is φ = 22156358400.

The previous prime is 91409353157. The next prime is 91409353241. The reversal of 91409353200 is 235390419.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14371621 + ... + 14377979.

It is an arithmetic number, because the mean of its divisors is an integer number (745659120).

Almost surely, 2^91409353200 is an apocalyptic number.

91409353200 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 91409353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178958188800).

91409353200 is an abundant number, since it is smaller than the sum of its proper divisors (266507024400).

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

91409353200 is a wasteful number, since it uses less digits than its factorization.

91409353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 91409353200 in words is "ninety-one billion, four hundred nine million, three hundred fifty-three thousand, two hundred".