13949517960 has 576 divisors, whose sum is σ = 56366921520. Its totient is φ = 2972712960.

The previous prime is 13949517947. The next prime is 13949518039. The reversal of 13949517960 is 6971594931.

13949517960 is a `hidden beast` number, since 1 + 39 + 4 + 9 + 517 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7905699396 + 6043818564 = 88914^2 + 77742^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13949517897 and 13949517906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54278152 + ... + 54278408.

Almost surely, 2^13949517960 is an apocalyptic number.

13949517960 is a gapful number since it is divisible by the number (10) 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 13949517960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28183460760).

13949517960 is an abundant number, since it is smaller than the sum of its proper divisors (42417403560).

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

13949517960 is a wasteful number, since it uses less digits than its factorization.

13949517960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 13949517960 in words is "thirteen billion, nine hundred forty-nine million, five hundred seventeen thousand, nine hundred sixty".