13635254561104 has 120 divisors (see below), whose sum is σ = 30855877300584. Its totient is φ = 5812501094400.

The previous prime is 13635254561077. The next prime is 13635254561143. The reversal of 13635254561104 is 40116545253631.

It can be written as a sum of positive squares in 4 ways, for example, as 848336786704 + 12786917774400 = 921052^2 + 3575880^2 .

It is a super-2 number, since 2×13635254561104² (a number of 27 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 23 ways as a sum of consecutive naturals, for example, 8511094 + ... + 9985450.

Almost surely, 2^{13635254561104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13635254561104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427938650292).

13635254561104 is an abundant number, since it is smaller than the sum of its proper divisors (17220622739480).

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

13635254561104 is a wasteful number, since it uses less digits than its factorization.

13635254561104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474685 (or 1474668 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 13635254561104 in words is "thirteen trillion, six hundred thirty-five billion, two hundred fifty-four million, five hundred sixty-one thousand, one hundred four".