13948884000 has 576 divisors, whose sum is σ = 52986286080. Its totient is φ = 3467520000.

The previous prime is 13948883957. The next prime is 13948884007. The reversal of 13948884000 is 48884931.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13948884007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32363785 + ... + 32364215.

It is an arithmetic number, because the mean of its divisors is an integer number (91990080).

Almost surely, 2^13948884000 is an apocalyptic number.

13948884000 is a gapful number since it is divisible by the number (10) 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 13948884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26493143040).

13948884000 is an abundant number, since it is smaller than the sum of its proper divisors (39037402080).

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

13948884000 is a wasteful number, since it uses less digits than its factorization.

13948884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 13948884000 in words is "thirteen billion, nine hundred forty-eight million, eight hundred eighty-four thousand".