226283142758400 has 6480 divisors, whose sum is σ = 1090522454845824. Its totient is φ = 46071105454080.

The previous prime is 226283142758369. The next prime is 226283142758467. The reversal of 226283142758400 is 4857241382622.

226283142758400 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 8 + 31 + 4 + 27 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2726302924759 + ... + 2726302924841.

Almost surely, 2^{226283142758400} is an apocalyptic number.

226283142758400 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 226283142758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545261227422912).

226283142758400 is an abundant number, since it is smaller than the sum of its proper divisors (864239312087424).

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

226283142758400 is an equidigital number, since it uses as much as digits as its factorization.

226283142758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 226283142758400 in words is "two hundred twenty-six trillion, two hundred eighty-three billion, one hundred forty-two million, seven hundred fifty-eight thousand, four hundred".