226264983464256 has 224 divisors, whose sum is σ = 690406293657600. Its totient is φ = 64677668843520.

The previous prime is 226264983464249. The next prime is 226264983464263. The reversal of 226264983464256 is 652464389462622.

It is an interprime number because it is at equal distance from previous prime (226264983464249) and next prime (226264983464263).

It is a super-2 number, since 2×226264983464256² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

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, 2750136 + ... + 21449783.

Almost surely, 2^{226264983464256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226264983464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345203146828800).

226264983464256 is an abundant number, since it is smaller than the sum of its proper divisors (464141310193344).

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

226264983464256 is a wasteful number, since it uses less digits than its factorization.

226264983464256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24200197 (or 24200187 counting only the distinct ones).

The product of its digits is 1433272320, while the sum is 69.

The spelling of 226264983464256 in words is "two hundred twenty-six trillion, two hundred sixty-four billion, nine hundred eighty-three million, four hundred sixty-four thousand, two hundred fifty-six".