13948796160 has 720 divisors, whose sum is σ = 54846570240. Its totient is φ = 3364208640.

The previous prime is 13948796119. The next prime is 13948796161. The reversal of 13948796160 is 6169784931.

13948796160 is a `hidden beast` number, since 1 + 394 + 8 + 7 + 96 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 13948796097 and 13948796106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13948796161) 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, 106479295 + ... + 106479425.

It is an arithmetic number, because the mean of its divisors is an integer number (76175792).

Almost surely, 2^13948796160 is an apocalyptic number.

13948796160 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 13948796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27423285120).

13948796160 is an abundant number, since it is smaller than the sum of its proper divisors (40897774080).

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

13948796160 is a wasteful number, since it uses less digits than its factorization.

13948796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 13948796160 in words is "thirteen billion, nine hundred forty-eight million, seven hundred ninety-six thousand, one hundred sixty".