13149609984 has 560 divisors, whose sum is σ = 47576232000. Its totient is φ = 3535405056.

The previous prime is 13149609947. The next prime is 13149609989. The reversal of 13149609984 is 48990694131.

It is a happy number.

13149609984 is a `hidden beast` number, since 13 + 14 + 9 + 609 + 9 + 8 + 4 = 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 13149609984.

It is not an unprimeable number, because it can be changed into a prime (13149609989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88252342 + ... + 88252490.

Almost surely, 2^13149609984 is an apocalyptic number.

13149609984 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 13149609984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23788116000).

13149609984 is an abundant number, since it is smaller than the sum of its proper divisors (34426622016).

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

13149609984 is an equidigital number, since it uses as much as digits as its factorization.

13149609984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 13149609984 in words is "thirteen billion, one hundred forty-nine million, six hundred nine thousand, nine hundred eighty-four".