13744058496 has 256 divisors, whose sum is σ = 43006464000. Its totient is φ = 3807977472.

The previous prime is 13744058473. The next prime is 13744058501. The reversal of 13744058496 is 69485044731.

It is a happy 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, 12528220 + ... + 12529316.

It is an arithmetic number, because the mean of its divisors is an integer number (167994000).

Almost surely, 2^13744058496 is an apocalyptic number.

13744058496 is a gapful number since it is divisible by the number (16) 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 13744058496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21503232000).

13744058496 is an abundant number, since it is smaller than the sum of its proper divisors (29262405504).

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

13744058496 is a wasteful number, since it uses less digits than its factorization.

13744058496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 13744058496 in words is "thirteen billion, seven hundred forty-four million, fifty-eight thousand, four hundred ninety-six".