13752786432 has 480 divisors, whose sum is σ = 47590025472. Its totient is φ = 3456921600.

The previous prime is 13752786413. The next prime is 13752786433. The reversal of 13752786432 is 23468725731.

13752786432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1693440) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13752786433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443638257 + ... + 443638287.

Almost surely, 2^13752786432 is an apocalyptic number.

13752786432 is a gapful number since it is divisible by the number (12) 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 13752786432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23795012736).

13752786432 is an abundant number, since it is smaller than the sum of its proper divisors (33837239040).

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

13752786432 is an frugal number, since it uses more digits than its factorization.

13752786432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 54 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The spelling of 13752786432 in words is "thirteen billion, seven hundred fifty-two million, seven hundred eighty-six thousand, four hundred thirty-two".