91464398400 has 168 divisors, whose sum is σ = 301637317984. Its totient is φ = 24263884800.

The previous prime is 91464398339. The next prime is 91464398401. The reversal of 91464398400 is 489346419.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 91464398400.

It is not an unprimeable number, because it can be changed into a prime (91464398401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 877035 + ... + 975765.

Almost surely, 2^91464398400 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 91464398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150818658992).

91464398400 is an abundant number, since it is smaller than the sum of its proper divisors (210172919584).

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

91464398400 is a wasteful number, since it uses less digits than its factorization.

91464398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98949 (or 98934 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 91464398400 in words is "ninety-one billion, four hundred sixty-four million, three hundred ninety-eight thousand, four hundred".