91144575648 has 384 divisors, whose sum is σ = 309347942400. Its totient is φ = 25571718144.

The previous prime is 91144575647. The next prime is 91144575661. The reversal of 91144575648 is 84657544119.

91144575648 is a `hidden beast` number, since 9 + 1 + 1 + 4 + 4 + 575 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 91144575594 and 91144575603.

It is not an unprimeable number, because it can be changed into a prime (91144575647) 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 63 ways as a sum of consecutive naturals, for example, 82185718 + ... + 82186826.

It is an arithmetic number, because the mean of its divisors is an integer number (805593600).

Almost surely, 2^91144575648 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 91144575648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154673971200).

91144575648 is an abundant number, since it is smaller than the sum of its proper divisors (218203366752).

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

91144575648 is a wasteful number, since it uses less digits than its factorization.

91144575648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 91144575648 in words is "ninety-one billion, one hundred forty-four million, five hundred seventy-five thousand, six hundred forty-eight".