91014986880 has 512 divisors, whose sum is σ = 330264576000. Its totient is φ = 23681839104.

The previous prime is 91014986831. The next prime is 91014986921. The reversal of 91014986880 is 8868941019.

91014986880 is a `hidden beast` number, since 9 + 10 + 1 + 498 + 68 + 80 = 666.

It is a super-3 number, since 3×91014986880³ (a number of 34 digits) contains 333 as substring.

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

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, 147035211 + ... + 147035829.

It is an arithmetic number, because the mean of its divisors is an integer number (645048000).

Almost surely, 2^91014986880 is an apocalyptic number.

91014986880 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 91014986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165132288000).

91014986880 is an abundant number, since it is smaller than the sum of its proper divisors (239249589120).

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

91014986880 is a wasteful number, since it uses less digits than its factorization.

91014986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 91014986880 in words is "ninety-one billion, fourteen million, nine hundred eighty-six thousand, eight hundred eighty".