91449552960 has 448 divisors, whose sum is σ = 337962240000. Its totient is φ = 23234770944.

The previous prime is 91449552959. The next prime is 91449552989. The reversal of 91449552960 is 6925594419.

91449552960 is a `hidden beast` number, since 9 + 14 + 49 + 5 + 529 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 91449552897 and 91449552906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61006291 + ... + 61007789.

It is an arithmetic number, because the mean of its divisors is an integer number (754380000).

Almost surely, 2^91449552960 is an apocalyptic number.

91449552960 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 91449552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168981120000).

91449552960 is an abundant number, since it is smaller than the sum of its proper divisors (246512687040).

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

91449552960 is a wasteful number, since it uses less digits than its factorization.

91449552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 91449552960 in words is "ninety-one billion, four hundred forty-nine million, five hundred fifty-two thousand, nine hundred sixty".