13996639104 has 640 divisors, whose sum is σ = 49369305600. Its totient is φ = 3489841152.

The previous prime is 13996639099. The next prime is 13996639109. The reversal of 13996639104 is 40193669931.

It is an interprime number because it is at equal distance from previous prime (13996639099) and next prime (13996639109).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13996639109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 297800809 + ... + 297800855.

It is an arithmetic number, because the mean of its divisors is an integer number (77139540).

Almost surely, 2^13996639104 is an apocalyptic number.

13996639104 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 13996639104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24684652800).

13996639104 is an abundant number, since it is smaller than the sum of its proper divisors (35372666496).

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

13996639104 is an equidigital number, since it uses as much as digits as its factorization.

13996639104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 51.

The spelling of 13996639104 in words is "thirteen billion, nine hundred ninety-six million, six hundred thirty-nine thousand, one hundred four".