226896841604160 has 3360 divisors, whose sum is σ = 1030269101621760. Its totient is φ = 46973565370368.

The previous prime is 226896841604149. The next prime is 226896841604189. The reversal of 226896841604160 is 61406148698622.

226896841604160 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 9 + 6 + 8 + 4 + 1 + 604 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 256961315079 + ... + 256961315961.

It is an arithmetic number, because the mean of its divisors is an integer number (306627708816).

Almost surely, 2^{226896841604160} is an apocalyptic number.

226896841604160 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 226896841604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515134550810880).

226896841604160 is an abundant number, since it is smaller than the sum of its proper divisors (803372260017600).

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

226896841604160 is a wasteful number, since it uses less digits than its factorization.

226896841604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 226896841604160 in words is "two hundred twenty-six trillion, eight hundred ninety-six billion, eight hundred forty-one million, six hundred four thousand, one hundred sixty".