91464384000 has 960 divisors, whose sum is σ = 347753742336. Its totient is φ = 21288960000.

The previous prime is 91464383999. The next prime is 91464384007. The reversal of 91464384000 is 48346419.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 91464384000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91464384007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720191937 + ... + 720192063.

Almost surely, 2^91464384000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91464384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173876871168).

91464384000 is an abundant number, since it is smaller than the sum of its proper divisors (256289358336).

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

91464384000 is a wasteful number, since it uses less digits than its factorization.

91464384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 91464384000 in words is "ninety-one billion, four hundred sixty-four million, three hundred eighty-four thousand".