226882929401856 has 4704 divisors, whose sum is σ = 930531065365440. Its totient is φ = 54611115245568.

The previous prime is 226882929401831. The next prime is 226882929401861. The reversal of 226882929401856 is 658104929288622.

226882929401856 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 82 + 92 + 9 + 401 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (4704).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3107985334236 + ... + 3107985334308.

Almost surely, 2^{226882929401856} is an apocalyptic number.

226882929401856 is a gapful number since it is divisible by the number (26) 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 226882929401856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465265532682720).

226882929401856 is an abundant number, since it is smaller than the sum of its proper divisors (703648135963584).

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

226882929401856 is an equidigital number, since it uses as much as digits as its factorization.

226882929401856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 226882929401856 in words is "two hundred twenty-six trillion, eight hundred eighty-two billion, nine hundred twenty-nine million, four hundred one thousand, eight hundred fifty-six".