13948286688 has 216 divisors, whose sum is σ = 48570860520. Its totient is φ = 3775403520.

The previous prime is 13948286663. The next prime is 13948286699. The reversal of 13948286688 is 88668284931.

13948286688 is a `hidden beast` number, since 13 + 9 + 482 + 8 + 66 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 35 ways as a sum of consecutive naturals, for example, 242118 + ... + 294138.

It is an arithmetic number, because the mean of its divisors is an integer number (224865095).

Almost surely, 2^13948286688 is an apocalyptic number.

13948286688 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 13948286688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24285430260).

13948286688 is an abundant number, since it is smaller than the sum of its proper divisors (34622573832).

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

13948286688 is a wasteful number, since it uses less digits than its factorization.

13948286688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52070 (or 52052 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 13948286688 in words is "thirteen billion, nine hundred forty-eight million, two hundred eighty-six thousand, six hundred eighty-eight".