91821614400 has 126 divisors (see below), whose sum is σ = 326355748862. Its totient is φ = 24485760000.

The previous prime is 91821614399. The next prime is 91821614407. The reversal of 91821614400 is 441612819.

91821614400 is a `hidden beast` number, since 9 + 18 + 21 + 614 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1619901504 + 90201712896 = 40248^2 + 300336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91821614407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3173851 + ... + 3202650.

Almost surely, 2^91821614400 is an apocalyptic number.

91821614400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91821614400 is an abundant number, since it is smaller than the sum of its proper divisors (234534134462).

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

91821614400 is a wasteful number, since it uses less digits than its factorization.

91821614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376529 (or 6376511 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 91821614400 in words is "ninety-one billion, eight hundred twenty-one million, six hundred fourteen thousand, four hundred".