13948223328 has 288 divisors, whose sum is σ = 45737782272. Its totient is φ = 4152384000.

The previous prime is 13948223299. The next prime is 13948223353. The reversal of 13948223328 is 82332284931.

13948223328 is a `hidden beast` number, since 1 + 394 + 8 + 2 + 233 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3131503 + ... + 3135953.

It is an arithmetic number, because the mean of its divisors is an integer number (158811744).

Almost surely, 2^13948223328 is an apocalyptic number.

13948223328 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 13948223328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22868891136).

13948223328 is an abundant number, since it is smaller than the sum of its proper divisors (31789558944).

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

13948223328 is a wasteful number, since it uses less digits than its factorization.

13948223328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4500 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 13948223328 in words is "thirteen billion, nine hundred forty-eight million, two hundred twenty-three thousand, three hundred twenty-eight".