91241658144 has 720 divisors, whose sum is σ = 341216274168. Its totient is φ = 23702740992.

The previous prime is 91241658143. The next prime is 91241658163. The reversal of 91241658144 is 44185614219.

91241658144 is a `hidden beast` number, since 9 + 1 + 24 + 1 + 6 + 581 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70681539600 + 20560118544 = 265860^2 + 143388^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 91241658144.

It is not an unprimeable number, because it can be changed into a prime (91241658143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 120530214 + ... + 120530970.

Almost surely, 2^91241658144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91241658144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170608137084).

91241658144 is an abundant number, since it is smaller than the sum of its proper divisors (249974616024).

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

91241658144 is a wasteful number, since it uses less digits than its factorization.

91241658144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 855 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 91241658144 in words is "ninety-one billion, two hundred forty-one million, six hundred fifty-eight thousand, one hundred forty-four".