226929991680 has 1008 divisors, whose sum is σ = 970213055760. Its totient is φ = 48752492544.

The previous prime is 226929991669. The next prime is 226929991693. The reversal of 226929991680 is 86199929622.

226929991680 is a `hidden beast` number, since 2 + 269 + 299 + 9 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×226929991680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 307076751 + ... + 307077489.

Almost surely, 2^226929991680 is an apocalyptic number.

226929991680 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 226929991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485106527880).

226929991680 is an abundant number, since it is smaller than the sum of its proper divisors (743283064080).

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

226929991680 is a wasteful number, since it uses less digits than its factorization.

226929991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 226929991680 in words is "two hundred twenty-six billion, nine hundred twenty-nine million, nine hundred ninety-one thousand, six hundred eighty".