13553691984 has 160 divisors (see below), whose sum is σ = 44591312640. Its totient is φ = 3861209088.

The previous prime is 13553691929. The next prime is 13553691989. The reversal of 13553691984 is 48919635531.

13553691984 is a `hidden beast` number, since 1 + 3 + 553 + 6 + 9 + 1 + 9 + 84 = 666.

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 13553691984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13553691989) 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 31 ways as a sum of consecutive naturals, for example, 1061124 + ... + 1073820.

It is an arithmetic number, because the mean of its divisors is an integer number (278695704).

Almost surely, 2^13553691984 is an apocalyptic number.

13553691984 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 13553691984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22295656320).

13553691984 is an abundant number, since it is smaller than the sum of its proper divisors (31037620656).

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

13553691984 is a wasteful number, since it uses less digits than its factorization.

13553691984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13074 (or 13062 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 13553691984 in words is "thirteen billion, five hundred fifty-three million, six hundred ninety-one thousand, nine hundred eighty-four".