91437346990080 has 5376 divisors, whose sum is σ = 429508287936000. Its totient is φ = 18540810731520.

The previous prime is 91437346990049. The next prime is 91437346990091. The reversal of 91437346990080 is 8009964373419.

91437346990080 is a `hidden beast` number, since 9 + 1 + 4 + 3 + 7 + 3 + 469 + 90 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 447 ways as a sum of consecutive naturals, for example, 1364736522207 + ... + 1364736522273.

It is an arithmetic number, because the mean of its divisors is an integer number (79893654750).

Almost surely, 2^{91437346990080} is an apocalyptic number.

91437346990080 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 91437346990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214754143968000).

91437346990080 is an abundant number, since it is smaller than the sum of its proper divisors (338070940945920).

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

91437346990080 is an equidigital number, since it uses as much as digits as its factorization.

91437346990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 91437346990080 in words is "ninety-one trillion, four hundred thirty-seven billion, three hundred forty-six million, nine hundred ninety thousand, eighty".