91463720866560 has 1152 divisors, whose sum is σ = 380324496384000. Its totient is φ = 20377788088320.

The previous prime is 91463720866559. The next prime is 91463720866577. The reversal of 91463720866560 is 6566802736419.

91463720866560 is a `hidden beast` number, since 9 + 1 + 4 + 6 + 3 + 7 + 2 + 0 + 8 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×91463720866560² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13162137966 + ... + 13162144914.

It is an arithmetic number, because the mean of its divisors is an integer number (330142792000).

It is a 1-persistent number, because it is pandigital, but 2⋅91463720866560 = 182927441733120 is not.

Almost surely, 2^{91463720866560} is an apocalyptic number.

91463720866560 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 91463720866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190162248192000).

91463720866560 is an abundant number, since it is smaller than the sum of its proper divisors (288860775517440).

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

91463720866560 is a wasteful number, since it uses less digits than its factorization.

91463720866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 91463720866560 in words is "ninety-one trillion, four hundred sixty-three billion, seven hundred twenty million, eight hundred sixty-six thousand, five hundred sixty".