11498984131104 has 384 divisors, whose sum is σ = 35500173004800. Its totient is φ = 3615257318400.

The previous prime is 11498984131049. The next prime is 11498984131111. The reversal of 11498984131104 is 40113148989411.

11498984131104 is a `hidden beast` number, since 1 + 1 + 49 + 89 + 8 + 413 + 1 + 104 = 666.

It is a super-2 number, since 2×11498984131104² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 644155779 + ... + 644173629.

It is an arithmetic number, because the mean of its divisors is an integer number (92448367200).

Almost surely, 2^{11498984131104} 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 11498984131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17750086502400).

11498984131104 is an abundant number, since it is smaller than the sum of its proper divisors (24001188873696).

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

11498984131104 is a wasteful number, since it uses less digits than its factorization.

11498984131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18493 (or 18479 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 11498984131104 in words is "eleven trillion, four hundred ninety-eight billion, nine hundred eighty-four million, one hundred thirty-one thousand, one hundred four".