13649038100 has 36 divisors (see below), whose sum is σ = 29632478400. Its totient is φ = 5457022560.

The previous prime is 13649038087. The next prime is 13649038157. The reversal of 13649038100 is 183094631.

13649038100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13649038100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 186581 + ... + 249219.

It is an arithmetic number, because the mean of its divisors is an integer number (823124400).

Almost surely, 2^13649038100 is an apocalyptic number.

13649038100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13649038100 is an abundant number, since it is smaller than the sum of its proper divisors (15983440300).

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

13649038100 is a wasteful number, since it uses less digits than its factorization.

13649038100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64832 (or 64825 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 13649038100 in words is "thirteen billion, six hundred forty-nine million, thirty-eight thousand, one hundred".