226121172152960 has 384 divisors, whose sum is σ = 663453033163200. Its totient is φ = 73277170089984.

The previous prime is 226121172152951. The next prime is 226121172152983. The reversal of 226121172152960 is 69251271121622.

It is a super-2 number, since 2×226121172152960² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257560499 + ... + 258436941.

Almost surely, 2^{226121172152960} is an apocalyptic number.

226121172152960 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 226121172152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331726516581600).

226121172152960 is an abundant number, since it is smaller than the sum of its proper divisors (437331861010240).

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

226121172152960 is a wasteful number, since it uses less digits than its factorization.

226121172152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876928 (or 876909 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 226121172152960 in words is "two hundred twenty-six trillion, one hundred twenty-one billion, one hundred seventy-two million, one hundred fifty-two thousand, nine hundred sixty".