13115610644004 has 144 divisors (see below), whose sum is σ = 36540541477440. Its totient is φ = 3933493643520.

The previous prime is 13115610643859. The next prime is 13115610644051. The reversal of 13115610644004 is 40044601651131.

13115610644004 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 5 + 6 + 1 + 0 + 644 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×13115610644004² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13115610644004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37941754 + ... + 38285870.

It is an arithmetic number, because the mean of its divisors is an integer number (253753760260).

Almost surely, 2^{13115610644004} 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 13115610644004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18270270738720).

13115610644004 is an abundant number, since it is smaller than the sum of its proper divisors (23424930833436).

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

13115610644004 is a wasteful number, since it uses less digits than its factorization.

13115610644004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345130 (or 345125 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13115610644004 in words is "thirteen trillion, one hundred fifteen billion, six hundred ten million, six hundred forty-four thousand, four".