226966118400 has 1008 divisors, whose sum is σ = 950738256000. Its totient is φ = 51733463040.

The previous prime is 226966118387. The next prime is 226966118437. The reversal of 226966118400 is 4811669622.

226966118400 is a `hidden beast` number, since 2 + 26 + 9 + 6 + 611 + 8 + 4 + 0 + 0 = 666.

226966118400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 71 ways as a sum of consecutive naturals, for example, 632217421 + ... + 632217779.

Almost surely, 2^226966118400 is an apocalyptic number.

226966118400 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 226966118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475369128000).

226966118400 is an abundant number, since it is smaller than the sum of its proper divisors (723772137600).

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

226966118400 is an equidigital number, since it uses as much as digits as its factorization.

226966118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 226966118400 in words is "two hundred twenty-six billion, nine hundred sixty-six million, one hundred eighteen thousand, four hundred".