506366614213164 has 120 divisors (see below), whose sum is σ = 1328455974173328. Its totient is φ = 168187875379200.

The previous prime is 506366614213127. The next prime is 506366614213211. The reversal of 506366614213164 is 461312416663605.

It is a happy number.

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 506366614213164.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5943157764 + ... + 5943242964.

Almost surely, 2^{506366614213164} is an apocalyptic number.

506366614213164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506366614213164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664227987086664).

506366614213164 is an abundant number, since it is smaller than the sum of its proper divisors (822089359960164).

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

506366614213164 is a wasteful number, since it uses less digits than its factorization.

506366614213164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150317 (or 150306 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 506366614213164 in words is "five hundred six trillion, three hundred sixty-six billion, six hundred fourteen million, two hundred thirteen thousand, one hundred sixty-four".