13948124344 has 128 divisors (see below), whose sum is σ = 33144422400. Its totient is φ = 5345159040.

The previous prime is 13948124329. The next prime is 13948124363. The reversal of 13948124344 is 44342184931.

It is a self number, because there is not a number n which added to its sum of digits gives 13948124344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21557829 + ... + 21558475.

It is an arithmetic number, because the mean of its divisors is an integer number (258940800).

Almost surely, 2^13948124344 is an apocalyptic number.

13948124344 is a gapful number since it is divisible by the number (14) 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 13948124344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572211200).

13948124344 is an abundant number, since it is smaller than the sum of its proper divisors (19196298056).

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

13948124344 is a wasteful number, since it uses less digits than its factorization.

13948124344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1189 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The spelling of 13948124344 in words is "thirteen billion, nine hundred forty-eight million, one hundred twenty-four thousand, three hundred forty-four".