13531245984 has 144 divisors (see below), whose sum is σ = 39325759200. Its totient is φ = 4411749888.

The previous prime is 13531245967. The next prime is 13531245991. The reversal of 13531245984 is 48954213531.

13531245984 is a `hidden beast` number, since 1 + 3 + 5 + 31 + 24 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13531245984² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5783887 + ... + 5786225.

It is an arithmetic number, because the mean of its divisors is an integer number (273095550).

Almost surely, 2^13531245984 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 13531245984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19662879600).

13531245984 is an abundant number, since it is smaller than the sum of its proper divisors (25794513216).

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

13531245984 is a wasteful number, since it uses less digits than its factorization.

13531245984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2776 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 13531245984 in words is "thirteen billion, five hundred thirty-one million, two hundred forty-five thousand, nine hundred eighty-four".