225462636035400 has 192 divisors, whose sum is σ = 702641078092800. Its totient is φ = 59804538624000.

The previous prime is 225462636035393. The next prime is 225462636035419. The reversal of 225462636035400 is 4530636264522.

It is a self number, because there is not a number n which added to its sum of digits gives 225462636035400.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1939088466 + ... + 1939204734.

It is an arithmetic number, because the mean of its divisors is an integer number (3659588948400).

Almost surely, 2^{225462636035400} is an apocalyptic number.

225462636035400 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 225462636035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351320539046400).

225462636035400 is an abundant number, since it is smaller than the sum of its proper divisors (477178442057400).

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

225462636035400 is a wasteful number, since it uses less digits than its factorization.

225462636035400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133400 (or 133391 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 225462636035400 in words is "two hundred twenty-five trillion, four hundred sixty-two billion, six hundred thirty-six million, thirty-five thousand, four hundred".