226246001643120 has 320 divisors, whose sum is σ = 724905145958400. Its totient is φ = 58312087142400.

The previous prime is 226246001643061. The next prime is 226246001643131. The reversal of 226246001643120 is 21346100642622.

It is a happy number.

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, 25002316356 + ... + 25002325404.

It is an arithmetic number, because the mean of its divisors is an integer number (2265328581120).

Almost surely, 2^{226246001643120} is an apocalyptic number.

226246001643120 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 226246001643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362452572979200).

226246001643120 is an abundant number, since it is smaller than the sum of its proper divisors (498659144315280).

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

226246001643120 is a wasteful number, since it uses less digits than its factorization.

226246001643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12984 (or 12978 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 226246001643120 in words is "two hundred twenty-six trillion, two hundred forty-six billion, one million, six hundred forty-three thousand, one hundred twenty".