226828415934960 has 320 divisors, whose sum is σ = 812174532836352. Its totient is φ = 51294987583488.

The previous prime is 226828415934943. The next prime is 226828415935031. The reversal of 226828415934960 is 69439514828622.

It is a super-2 number, since 2×226828415934960² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 494680359 + ... + 495138681.

Almost surely, 2^{226828415934960} is an apocalyptic number.

226828415934960 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 226828415934960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406087266418176).

226828415934960 is an abundant number, since it is smaller than the sum of its proper divisors (585346116901392).

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

226828415934960 is a wasteful number, since it uses less digits than its factorization.

226828415934960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461480 (or 461474 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 69.

The spelling of 226828415934960 in words is "two hundred twenty-six trillion, eight hundred twenty-eight billion, four hundred fifteen million, nine hundred thirty-four thousand, nine hundred sixty".