91335453840 has 120 divisors (see below), whose sum is σ = 306920173560. Its totient is φ = 24341409792.

The previous prime is 91335453799. The next prime is 91335453841. The reversal of 91335453840 is 4835453319.

91335453840 is a `hidden beast` number, since 9 + 1 + 33 + 545 + 38 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27534756096 + 63800697744 = 165936^2 + 252588^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (91335453841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181496 + ... + 1256424.

It is an arithmetic number, because the mean of its divisors is an integer number (2557668113).

Almost surely, 2^91335453840 is an apocalyptic number.

91335453840 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 91335453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153460086780).

91335453840 is an abundant number, since it is smaller than the sum of its proper divisors (215584719720).

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

91335453840 is a wasteful number, since it uses less digits than its factorization.

91335453840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76641 (or 76632 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 91335453840 in words is "ninety-one billion, three hundred thirty-five million, four hundred fifty-three thousand, eight hundred forty".