226165564518720 has 224 divisors, whose sum is σ = 731852784541440. Its totient is φ = 59154394890240.

The previous prime is 226165564518653. The next prime is 226165564518739. The reversal of 226165564518720 is 27815465561622.

It is a happy number.

It is a hoax number, since the sum of its digits (60) 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162581325 + ... + 163966515.

Almost surely, 2^{226165564518720} is an apocalyptic number.

226165564518720 is a gapful number since it is divisible by the number (20) 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 226165564518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365926392270720).

226165564518720 is an abundant number, since it is smaller than the sum of its proper divisors (505687220022720).

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

226165564518720 is a wasteful number, since it uses less digits than its factorization.

226165564518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388473 (or 1388463 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 60.

The spelling of 226165564518720 in words is "two hundred twenty-six trillion, one hundred sixty-five billion, five hundred sixty-four million, five hundred eighteen thousand, seven hundred twenty".