6456185436 has 72 divisors (see below), whose sum is σ = 15755818624. Its totient is φ = 2057348160.

The previous prime is 6456185377. The next prime is 6456185441. The reversal of 6456185436 is 6345816546.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036371 + ... + 1042581.

Almost surely, 2^6456185436 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 6456185436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7877909312).

6456185436 is an abundant number, since it is smaller than the sum of its proper divisors (9299633188).

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

6456185436 is a wasteful number, since it uses less digits than its factorization.

6456185436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6348 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 6456185436 is about 80350.3916356355. The cubic root of 6456185436 is about 1862.0528300582.

It can be divided in two parts, 6456185 and 436, that added together give a triangular number (6456621 = T₃₅₉₃).

The spelling of 6456185436 in words is "six billion, four hundred fifty-six million, one hundred eighty-five thousand, four hundred thirty-six".