506020045464 has 96 divisors (see below), whose sum is σ = 1391229281520. Its totient is φ = 166119579648.

The previous prime is 506020045417. The next prime is 506020045469. The reversal of 506020045464 is 464540020605.

506020045464 is a `hidden beast` number, since 5 + 0 + 602 + 0 + 0 + 4 + 5 + 46 + 4 = 666.

It is a super-2 number, since 2×506020045464² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506020045469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30561412 + ... + 30577964.

Almost surely, 2^506020045464 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 506020045464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695614640760).

506020045464 is an abundant number, since it is smaller than the sum of its proper divisors (885209236056).

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

506020045464 is a wasteful number, since it uses less digits than its factorization.

506020045464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22969 (or 22962 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 506020045464 in words is "five hundred six billion, twenty million, forty-five thousand, four hundred sixty-four".