13730893824 has 104 divisors (see below), whose sum is σ = 36739190592. Its totient is φ = 4560977920.

The previous prime is 13730893817. The next prime is 13730893873. The reversal of 13730893824 is 42839803731.

It is a super-2 number, since 2×13730893824² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3819772 + ... + 3823364.

It is an arithmetic number, because the mean of its divisors is an integer number (353261448).

Almost surely, 2^13730893824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13730893824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18369595296).

13730893824 is an abundant number, since it is smaller than the sum of its proper divisors (23008296768).

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

13730893824 is an equidigital number, since it uses as much as digits as its factorization.

13730893824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

It can be divided in two parts, 137308 and 93824, that added together give a palindrome (231132).

The spelling of 13730893824 in words is "thirteen billion, seven hundred thirty million, eight hundred ninety-three thousand, eight hundred twenty-four".