13785781632 has 64 divisors (see below), whose sum is σ = 41849702400. Its totient is φ = 3938793984.

The previous prime is 13785781631. The next prime is 13785781651. The reversal of 13785781632 is 23618758731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13785781631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2561632 + ... + 2567007.

It is an arithmetic number, because the mean of its divisors is an integer number (653901600).

Almost surely, 2^13785781632 is an apocalyptic number.

13785781632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13785781632 is an abundant number, since it is smaller than the sum of its proper divisors (28063920768).

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

13785781632 is an equidigital number, since it uses as much as digits as its factorization.

13785781632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128663 (or 5128651 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The spelling of 13785781632 in words is "thirteen billion, seven hundred eighty-five million, seven hundred eighty-one thousand, six hundred thirty-two".