4113645516 has 72 divisors (see below), whose sum is σ = 11045964384. Its totient is φ = 1286346240.

The previous prime is 4113645493. The next prime is 4113645527. The reversal of 4113645516 is 6155463114.

4113645516 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 645 + 5 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179526 + ... + 201138.

It is an arithmetic number, because the mean of its divisors is an integer number (153416172).

Almost surely, 2^4113645516 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 4113645516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522982192).

4113645516 is an abundant number, since it is smaller than the sum of its proper divisors (6932318868).

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

4113645516 is a wasteful number, since it uses less digits than its factorization.

4113645516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21951 (or 21946 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 4113645516 is about 64137.7074426581. The cubic root of 4113645516 is about 1602.2943017688.

The spelling of 4113645516 in words is "four billion, one hundred thirteen million, six hundred forty-five thousand, five hundred sixteen".