13888782336 has 432 divisors, whose sum is σ = 46053282240. Its totient is φ = 3680501760.

The previous prime is 13888782311. The next prime is 13888782359. The reversal of 13888782336 is 63328788831.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (9289728) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730988535 + ... + 730988553.

It is an arithmetic number, because the mean of its divisors is an integer number (106604820).

Almost surely, 2^13888782336 is an apocalyptic number.

13888782336 is a gapful number since it is divisible by the number (16) 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 13888782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23026641120).

13888782336 is an abundant number, since it is smaller than the sum of its proper divisors (32164499904).

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

13888782336 is an equidigital number, since it uses as much as digits as its factorization.

13888782336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 48 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The spelling of 13888782336 in words is "thirteen billion, eight hundred eighty-eight million, seven hundred eighty-two thousand, three hundred thirty-six".