13782638600 has 48 divisors (see below), whose sum is σ = 33149636100. Its totient is φ = 5322947840.

The previous prime is 13782638587. The next prime is 13782638603. The reversal of 13782638600 is 683628731.

It can be written as a sum of positive squares in 6 ways, for example, as 3682790596 + 10099848004 = 60686^2 + 100498^2 .

It is a super-2 number, since 2×13782638600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13782638603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182359 + ... + 1193958.

Almost surely, 2^13782638600 is an apocalyptic number.

13782638600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13782638600 is an abundant number, since it is smaller than the sum of its proper divisors (19366997500).

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

13782638600 is a wasteful number, since it uses less digits than its factorization.

13782638600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376362 (or 2376353 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 13782638600 in words is "thirteen billion, seven hundred eighty-two million, six hundred thirty-eight thousand, six hundred".