226505461235400 has 288 divisors, whose sum is σ = 762069334440960. Its totient is φ = 60291255006720.

The previous prime is 226505461235387. The next prime is 226505461235401. The reversal of 226505461235400 is 4532164505622.

226505461235400 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 0 + 5 + 4 + 6 + 1 + 235 + 400 = 666.

It is a super-2 number, since 2×226505461235400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (226505461235401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4644621817 + ... + 4644670583.

It is an arithmetic number, because the mean of its divisors is an integer number (2646074077920).

Almost surely, 2^{226505461235400} is an apocalyptic number.

226505461235400 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 226505461235400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381034667220480).

226505461235400 is an abundant number, since it is smaller than the sum of its proper divisors (535563873205560).

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

226505461235400 is a wasteful number, since it uses less digits than its factorization.

226505461235400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53445 (or 53433 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 226505461235400 in words is "two hundred twenty-six trillion, five hundred five billion, four hundred sixty-one million, two hundred thirty-five thousand, four hundred".