226691356320 has 672 divisors, whose sum is σ = 943418980224. Its totient is φ = 50724403200.

The previous prime is 226691356319. The next prime is 226691356391. The reversal of 226691356320 is 23653196622.

226691356320 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 9 + 1 + 3 + 5 + 632 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16672725 + ... + 16686315.

It is an arithmetic number, because the mean of its divisors is an integer number (1403897292).

Almost surely, 2^226691356320 is an apocalyptic number.

226691356320 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 226691356320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471709490112).

226691356320 is an abundant number, since it is smaller than the sum of its proper divisors (716727623904).

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

226691356320 is a wasteful number, since it uses less digits than its factorization.

226691356320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13648 (or 13625 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 226691356320 in words is "two hundred twenty-six billion, six hundred ninety-one million, three hundred fifty-six thousand, three hundred twenty".