13949160336 has 240 divisors, whose sum is σ = 42458532480. Its totient is φ = 4425062400.

The previous prime is 13949160307. The next prime is 13949160347. The reversal of 13949160336 is 63306194931.

13949160336 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 9 + 1 + 603 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13949160291 and 13949160300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34785736 + ... + 34786136.

It is an arithmetic number, because the mean of its divisors is an integer number (176910552).

Almost surely, 2^13949160336 is an apocalyptic number.

13949160336 is a gapful number since it is divisible by the number (16) 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 13949160336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21229266240).

13949160336 is an abundant number, since it is smaller than the sum of its proper divisors (28509372144).

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

13949160336 is a wasteful number, since it uses less digits than its factorization.

13949160336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 13949160336 in words is "thirteen billion, nine hundred forty-nine million, one hundred sixty thousand, three hundred thirty-six".