91142344800 has 1152 divisors, whose sum is σ = 383251720320. Its totient is φ = 20702822400.

The previous prime is 91142344781. The next prime is 91142344831. The reversal of 91142344800 is 844324119.

It is a happy number.

91142344800 is a `hidden beast` number, since 9 + 1 + 142 + 34 + 480 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 291189444 + ... + 291189756.

It is an arithmetic number, because the mean of its divisors is an integer number (332683785).

Almost surely, 2^91142344800 is an apocalyptic number.

91142344800 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 91142344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191625860160).

91142344800 is an abundant number, since it is smaller than the sum of its proper divisors (292109375520).

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

91142344800 is a wasteful number, since it uses less digits than its factorization.

91142344800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 91142344800 its reverse (844324119), we get a palindrome (91986668919).

The spelling of 91142344800 in words is "ninety-one billion, one hundred forty-two million, three hundred forty-four thousand, eight hundred".