91243583654400 has 480 divisors, whose sum is σ = 349469567694720. Its totient is φ = 23273723658240.

The previous prime is 91243583654381. The next prime is 91243583654401. The reversal of 91243583654400 is 445638534219.

It is a happy number.

91243583654400 is a `hidden beast` number, since 9 + 1 + 2 + 4 + 3 + 583 + 6 + 54 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (91243583654401) 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 47 ways as a sum of consecutive naturals, for example, 2209344 + ... + 13688256.

It is an arithmetic number, because the mean of its divisors is an integer number (728061599364).

Almost surely, 2^{91243583654400} is an apocalyptic number.

91243583654400 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 91243583654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174734783847360).

91243583654400 is an abundant number, since it is smaller than the sum of its proper divisors (258225984040320).

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

91243583654400 is a wasteful number, since it uses less digits than its factorization.

91243583654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11478973 (or 11478946 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 91243583654400 in words is "ninety-one trillion, two hundred forty-three billion, five hundred eighty-three million, six hundred fifty-four thousand, four hundred".