13298541984 has 576 divisors, whose sum is σ = 49405265280. Its totient is φ = 3448811520.

The previous prime is 13298541923. The next prime is 13298542021. The reversal of 13298541984 is 48914589231.

It is a happy number.

13298541984 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 8 + 541 + 98 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13298541984.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40176699 + ... + 40177029.

It is an arithmetic number, because the mean of its divisors is an integer number (85773030).

Almost surely, 2^13298541984 is an apocalyptic number.

13298541984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13298541984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24702632640).

13298541984 is an abundant number, since it is smaller than the sum of its proper divisors (36106723296).

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

13298541984 is a wasteful number, since it uses less digits than its factorization.

13298541984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 429 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 13298541984 in words is "thirteen billion, two hundred ninety-eight million, five hundred forty-one thousand, nine hundred eighty-four".