226269806400 has 1260 divisors, whose sum is σ = 936686756544. Its totient is φ = 53511321600.

The previous prime is 226269806377. The next prime is 226269806419. The reversal of 226269806400 is 4608962622.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 737035047 + ... + 737035353.

Almost surely, 2^226269806400 is an apocalyptic number.

226269806400 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 226269806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468343378272).

226269806400 is an abundant number, since it is smaller than the sum of its proper divisors (710416950144).

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

226269806400 is a wasteful number, since it uses less digits than its factorization.

226269806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 226269806400 in words is "two hundred twenty-six billion, two hundred sixty-nine million, eight hundred six thousand, four hundred".