226121880960 has 768 divisors, whose sum is σ = 845337729600. Its totient is φ = 57689210880.

The previous prime is 226121880953. The next prime is 226121880991. The reversal of 226121880960 is 69088121622.

226121880960 is a `hidden beast` number, since 22 + 612 + 1 + 8 + 8 + 0 + 9 + 6 + 0 = 666.

226121880960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226121880960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816324342 + ... + 816324618.

Almost surely, 2^226121880960 is an apocalyptic number.

226121880960 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 226121880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422668864800).

226121880960 is an abundant number, since it is smaller than the sum of its proper divisors (619215848640).

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

226121880960 is a wasteful number, since it uses less digits than its factorization.

226121880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 226121880960 in words is "two hundred twenty-six billion, one hundred twenty-one million, eight hundred eighty thousand, nine hundred sixty".