4113881636364 has 192 divisors, whose sum is σ = 11186300160000. Its totient is φ = 1306111951872.

The previous prime is 4113881636353. The next prime is 4113881636399. The reversal of 4113881636364 is 4636361883114.

4113881636364 is a `hidden beast` number, since 4 + 113 + 8 + 8 + 163 + 6 + 364 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4113881636364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56311092 + ... + 56384100.

It is an arithmetic number, because the mean of its divisors is an integer number (58261980000).

Almost surely, 2^{4113881636364} 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 4113881636364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593150080000).

4113881636364 is an abundant number, since it is smaller than the sum of its proper divisors (7072418523636).

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

4113881636364 is a wasteful number, since it uses less digits than its factorization.

4113881636364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73357 (or 73349 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 4113881636364 in words is "four trillion, one hundred thirteen billion, eight hundred eighty-one million, six hundred thirty-six thousand, three hundred sixty-four".