13861749888 has 256 divisors, whose sum is σ = 47218329600. Its totient is φ = 3921343488.

The previous prime is 13861749887. The next prime is 13861749907. The reversal of 13861749888 is 88894716831.

13861749888 is a `hidden beast` number, since 1 + 3 + 8 + 61 + 7 + 498 + 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 not an unprimeable number, because it can be changed into a prime (13861749883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2488995 + ... + 2494557.

It is an arithmetic number, because the mean of its divisors is an integer number (184446600).

Almost surely, 2^13861749888 is an apocalyptic number.

13861749888 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 13861749888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23609164800).

13861749888 is an abundant number, since it is smaller than the sum of its proper divisors (33356579712).

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

13861749888 is a wasteful number, since it uses less digits than its factorization.

13861749888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5678 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The spelling of 13861749888 in words is "thirteen billion, eight hundred sixty-one million, seven hundred forty-nine thousand, eight hundred eighty-eight".