226418467968000 has 10560 divisors, whose sum is σ = 1184027875430400. Its totient is φ = 41911271424000.

The previous prime is 226418467967999. The next prime is 226418467968013. The reversal of 226418467968000 is 869764814622.

226418467968000 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 1 + 8 + 467 + 96 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10560).

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 polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 3837601151971 + ... + 3837601152029.

It is an arithmetic number, because the mean of its divisors is an integer number (112123851840).

Almost surely, 2^{226418467968000} is an apocalyptic number.

226418467968000 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 226418467968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592013937715200).

226418467968000 is an abundant number, since it is smaller than the sum of its proper divisors (957609407462400).

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

226418467968000 is a wasteful number, since it uses less digits than its factorization.

226418467968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 226418467968000 in words is "two hundred twenty-six trillion, four hundred eighteen billion, four hundred sixty-seven million, nine hundred sixty-eight thousand".