91001449232982 has 128 divisors (see below), whose sum is σ = 206293208486400. Its totient is φ = 29725074767232.

The previous prime is 91001449232959. The next prime is 91001449232983. The reversal of 91001449232982 is 28923294410019.

It is a happy number.

91001449232982 is a `hidden beast` number, since 9 + 10 + 0 + 144 + 92 + 329 + 82 = 666.

91001449232982 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×91001449232982² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91001449232983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13376661193 + ... + 13376667995.

It is an arithmetic number, because the mean of its divisors is an integer number (1611665691300).

Almost surely, 2^{91001449232982} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91001449232982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103146604243200).

91001449232982 is an abundant number, since it is smaller than the sum of its proper divisors (115291759253418).

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

91001449232982 is a wasteful number, since it uses less digits than its factorization.

91001449232982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11899 (or 11893 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 91001449232982 in words is "ninety-one trillion, one billion, four hundred forty-nine million, two hundred thirty-two thousand, nine hundred eighty-two".