226408477359376 has 225 divisors, whose sum is σ = 497506259151621. Its totient is φ = 99770177130624.

The previous prime is 226408477359373. The next prime is 226408477359413. The reversal of 226408477359376 is 673953774804622.

The square root of 226408477359376 is 15046876.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33492378307600 + 192916099051776 = 5787260^2 + 13889424^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 226408477359299 and 226408477359308.

It is not an unprimeable number, because it can be changed into a prime (226408477359373) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 413909464735 + ... + 413909465281.

Almost surely, 2^{226408477359376} is an apocalyptic number.

226408477359376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

226408477359376 is the 15046876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226408477359376

226408477359376 is an abundant number, since it is smaller than the sum of its proper divisors (271097781792245).

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

226408477359376 is an frugal number, since it uses more digits than its factorization.

226408477359376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2560481280, while the sum is 73.

The spelling of 226408477359376 in words is "two hundred twenty-six trillion, four hundred eight billion, four hundred seventy-seven million, three hundred fifty-nine thousand, three hundred seventy-six".