13862133648 has 180 divisors, whose sum is σ = 43069798044. Its totient is φ = 4158528000.

The previous prime is 13862133619. The next prime is 13862133683. The reversal of 13862133648 is 84633126831.

13862133648 is a `hidden beast` number, since 13 + 8 + 621 + 3 + 3 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8319628944 + 5542504704 = 91212^2 + 74448^2 .

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, 1755886 + ... + 1763762.

Almost surely, 2^13862133648 is an apocalyptic number.

13862133648 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 13862133648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21534899022).

13862133648 is an abundant number, since it is smaller than the sum of its proper divisors (29207664396).

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

13862133648 is a wasteful number, since it uses less digits than its factorization.

13862133648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8014 (or 7994 counting only the distinct ones).

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

The spelling of 13862133648 in words is "thirteen billion, eight hundred sixty-two million, one hundred thirty-three thousand, six hundred forty-eight".