13888433664 has 480 divisors, whose sum is σ = 48902870016. Its totient is φ = 3851919360.

The previous prime is 13888433609. The next prime is 13888433681. The reversal of 13888433664 is 46633488831.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13888433664.

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, 32223529 + ... + 32223959.

Almost surely, 2^13888433664 is an apocalyptic number.

13888433664 is a gapful number since it is divisible by the number (14) 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 13888433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24451435008).

13888433664 is an abundant number, since it is smaller than the sum of its proper divisors (35014436352).

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

13888433664 is an frugal number, since it uses more digits than its factorization.

13888433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 480 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 13888433664 in words is "thirteen billion, eight hundred eighty-eight million, four hundred thirty-three thousand, six hundred sixty-four".