4218083136 has 84 divisors (see below), whose sum is σ = 12178852452. Its totient is φ = 1395738624.

The previous prime is 4218083117. The next prime is 4218083173. The reversal of 4218083136 is 6313808124.

It can be written as a sum of positive squares in 2 ways, for example, as 2516025600 + 1702057536 = 50160^2 + 41256^2 .

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

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 4218083136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52186 + ... + 105638.

Almost surely, 2^4218083136 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 4218083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089426226).

4218083136 is an abundant number, since it is smaller than the sum of its proper divisors (7960769316).

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

4218083136 is a wasteful number, since it uses less digits than its factorization.

4218083136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53608 (or 53595 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4218083136 is about 64946.7715594855. The cubic root of 4218083136 is about 1615.7408743747.

It can be divided in two parts, 42180 and 83136, that added together give a square (125316 = 354²).

The spelling of 4218083136 in words is "four billion, two hundred eighteen million, eighty-three thousand, one hundred thirty-six".