13959613008 has 320 divisors, whose sum is σ = 45868492800. Its totient is φ = 4023613440.

The previous prime is 13959613001. The next prime is 13959613027. The reversal of 13959613008 is 80031695931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13959613001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36832563 + ... + 36832941.

It is an arithmetic number, because the mean of its divisors is an integer number (143339040).

Almost surely, 2^13959613008 is an apocalyptic number.

13959613008 is a gapful number since it is divisible by the number (18) 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 13959613008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22934246400).

13959613008 is an abundant number, since it is smaller than the sum of its proper divisors (31908879792).

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

13959613008 is a wasteful number, since it uses less digits than its factorization.

13959613008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 13959613008 in words is "thirteen billion, nine hundred fifty-nine million, six hundred thirteen thousand, eight".