91294248960 has 416 divisors, whose sum is σ = 327807751680. Its totient is φ = 24101978112.

The previous prime is 91294248937. The next prime is 91294248961. The reversal of 91294248960 is 6984249219.

91294248960 is a `hidden beast` number, since 9 + 12 + 94 + 2 + 489 + 60 = 666.

It is a super-2 number, since 2×91294248960² (a number of 23 digits) contains 22 as substring.

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 = 91294248897 and 91294248906.

It is not an unprimeable number, because it can be changed into a prime (91294248961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 59165949 + ... + 59167491.

Almost surely, 2^91294248960 is an apocalyptic number.

91294248960 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 91294248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163903875840).

91294248960 is an abundant number, since it is smaller than the sum of its proper divisors (236513502720).

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

91294248960 is a wasteful number, since it uses less digits than its factorization.

91294248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 91294248960 in words is "ninety-one billion, two hundred ninety-four million, two hundred forty-eight thousand, nine hundred sixty".