13824893790 has 48 divisors (see below), whose sum is σ = 35984052000. Its totient is φ = 3682604736.

The previous prime is 13824893779. The next prime is 13824893801. The reversal of 13824893790 is 9739842831.

13824893790 is a `hidden beast` number, since 13 + 82 + 489 + 3 + 79 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13824893779) and next prime (13824893801).

It is a super-2 number, since 2×13824893790² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865 + ... + 166284.

It is an arithmetic number, because the mean of its divisors is an integer number (749667750).

Almost surely, 2^13824893790 is an apocalyptic number.

13824893790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13824893790 is an abundant number, since it is smaller than the sum of its proper divisors (22159158210).

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

13824893790 is a wasteful number, since it uses less digits than its factorization.

13824893790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168081 (or 168078 counting only the distinct ones).

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

The spelling of 13824893790 in words is "thirteen billion, eight hundred twenty-four million, eight hundred ninety-three thousand, seven hundred ninety".