13782916900 has 18 divisors (see below), whose sum is σ = 29908929890. Its totient is φ = 5513166720.

The previous prime is 13782916853. The next prime is 13782916943. The reversal of 13782916900 is 961928731.

It is a happy number.

13782916900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 92044836 + 13690872064 = 9594^2 + 117008^2 .

It is a super-2 number, since 2×13782916900² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 68914485 + ... + 68914684.

Almost surely, 2^13782916900 is an apocalyptic number.

13782916900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13782916900 is an abundant number, since it is smaller than the sum of its proper divisors (16126012990).

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

13782916900 is a wasteful number, since it uses less digits than its factorization.

13782916900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137829183 (or 137829176 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 13782916900 in words is "thirteen billion, seven hundred eighty-two million, nine hundred sixteen thousand, nine hundred".