91144193444100 has 360 divisors, whose sum is σ = 297733294578720. Its totient is φ = 24117752954880.

The previous prime is 91144193444069. The next prime is 91144193444123. The reversal of 91144193444100 is 144439144119.

91144193444100 is a `hidden beast` number, since 9 + 1 + 1 + 4 + 4 + 193 + 44 + 410 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 2282179332 + ... + 2282219268.

Almost surely, 2^{91144193444100} is an apocalyptic number.

91144193444100 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 91144193444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148866647289360).

91144193444100 is an abundant number, since it is smaller than the sum of its proper divisors (206589101134620).

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

91144193444100 is a wasteful number, since it uses less digits than its factorization.

91144193444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42129 (or 42113 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 91144193444100 in words is "ninety-one trillion, one hundred forty-four billion, one hundred ninety-three million, four hundred forty-four thousand, one hundred".