13779993348 has 192 divisors, whose sum is σ = 41429283840. Its totient is φ = 3914611200.

The previous prime is 13779993319. The next prime is 13779993349. The reversal of 13779993348 is 84339997731.

13779993348 is a `hidden beast` number, since 137 + 79 + 9 + 93 + 348 = 666.

It is not an unprimeable number, because it can be changed into a prime (13779993349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5714263 + ... + 5716673.

It is an arithmetic number, because the mean of its divisors is an integer number (215777520).

Almost surely, 2^13779993348 is an apocalyptic number.

13779993348 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 13779993348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20714641920).

13779993348 is an abundant number, since it is smaller than the sum of its proper divisors (27649290492).

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

13779993348 is a wasteful number, since it uses less digits than its factorization.

13779993348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2727 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The spelling of 13779993348 in words is "thirteen billion, seven hundred seventy-nine million, nine hundred ninety-three thousand, three hundred forty-eight".