13639981824 has 864 divisors, whose sum is σ = 52344714240. Its totient is φ = 3474358272.

The previous prime is 13639981819. The next prime is 13639981879. The reversal of 13639981824 is 42818993631.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nude number because it is divisible by every one of its digits.

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, 132426957 + ... + 132427059.

It is an arithmetic number, because the mean of its divisors is an integer number (60584160).

Almost surely, 2^13639981824 is an apocalyptic number.

13639981824 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 13639981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26172357120).

13639981824 is an abundant number, since it is smaller than the sum of its proper divisors (38704732416).

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

13639981824 is a wasteful number, since it uses less digits than its factorization.

13639981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 13639981824 in words is "thirteen billion, six hundred thirty-nine million, nine hundred eighty-one thousand, eight hundred twenty-four".