91445950888128 has 168 divisors, whose sum is σ = 275673645426816. Its totient is φ = 28942114406400.

The previous prime is 91445950888109. The next prime is 91445950888129. The reversal of 91445950888128 is 82188805954419.

91445950888128 is a `hidden beast` number, since 9 + 1 + 4 + 4 + 595 + 0 + 8 + 8 + 8 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (91445950888129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47367793 + ... + 49260528.

It is an arithmetic number, because the mean of its divisors is an integer number (1640914556112).

Almost surely, 2^{91445950888128} is an apocalyptic number.

It is an amenable number.

91445950888128 is an abundant number, since it is smaller than the sum of its proper divisors (184227694538688).

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

91445950888128 is a wasteful number, since it uses less digits than its factorization.

91445950888128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96628423 (or 96628410 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 72.

The spelling of 91445950888128 in words is "ninety-one trillion, four hundred forty-five billion, nine hundred fifty million, eight hundred eighty-eight thousand, one hundred twenty-eight".