226860134400 has 624 divisors, whose sum is σ = 844520932320. Its totient is φ = 60436316160.

The previous prime is 226860134399. The next prime is 226860134407. The reversal of 226860134400 is 4431068622.

226860134400 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 601 + 3 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226860134407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223948294 + ... + 223949306.

It is an arithmetic number, because the mean of its divisors is an integer number (1353398930).

Almost surely, 2^226860134400 is an apocalyptic number.

226860134400 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 226860134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422260466160).

226860134400 is an abundant number, since it is smaller than the sum of its proper divisors (617660797920).

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

226860134400 is an frugal number, since it uses more digits than its factorization.

226860134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 226860134400 in words is "two hundred twenty-six billion, eight hundred sixty million, one hundred thirty-four thousand, four hundred".