13793982048 has 192 divisors, whose sum is σ = 50160176640. Its totient is φ = 3582835200.

The previous prime is 13793982031. The next prime is 13793982109. The reversal of 13793982048 is 84028939731.

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 = 13793981985 and 13793982003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37143 + ... + 170198.

It is an arithmetic number, because the mean of its divisors is an integer number (261250920).

Almost surely, 2^13793982048 is an apocalyptic number.

13793982048 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 13793982048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25080088320).

13793982048 is an abundant number, since it is smaller than the sum of its proper divisors (36366194592).

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

13793982048 is a wasteful number, since it uses less digits than its factorization.

13793982048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207378 (or 207364 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 13793982048 in words is "thirteen billion, seven hundred ninety-three million, nine hundred eighty-two thousand, forty-eight".