13640910514100 has 18 divisors (see below), whose sum is σ = 29600775815814. Its totient is φ = 5456364205600.

The previous prime is 13640910514061. The next prime is 13640910514123. The reversal of 13640910514100 is 141501904631.

It can be written as a sum of positive squares in 3 ways, for example, as 1300430052496 + 12340480461604 = 1140364^2 + 3512902^2 .

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 5 ways as a sum of consecutive naturals, for example, 68204552471 + ... + 68204552670.

It is an arithmetic number, because the mean of its divisors is an integer number (1644487545323).

Almost surely, 2^{13640910514100} is an apocalyptic number.

13640910514100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13640910514100 is an abundant number, since it is smaller than the sum of its proper divisors (15959865301714).

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

13640910514100 is a wasteful number, since it uses less digits than its factorization.

13640910514100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136409105155 (or 136409105148 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 13640910514100 in words is "thirteen trillion, six hundred forty billion, nine hundred ten million, five hundred fourteen thousand, one hundred".