226164141264 has 80 divisors (see below), whose sum is σ = 615321281600. Its totient is φ = 71383845888.

The previous prime is 226164141149. The next prime is 226164141277. The reversal of 226164141264 is 462141461622.

226164141264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1755402 + ... + 1879830.

It is an arithmetic number, because the mean of its divisors is an integer number (7691516020).

Almost surely, 2^226164141264 is an apocalyptic number.

226164141264 is a gapful number since it is divisible by the number (24) 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 226164141264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307660640800).

226164141264 is an abundant number, since it is smaller than the sum of its proper divisors (389157140336).

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

226164141264 is a wasteful number, since it uses less digits than its factorization.

226164141264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126452 (or 126446 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The spelling of 226164141264 in words is "two hundred twenty-six billion, one hundred sixty-four million, one hundred forty-one thousand, two hundred sixty-four".