229855345459200 has 540 divisors, whose sum is σ = 849928472568448. Its totient is φ = 59317479014400.

The previous prime is 229855345459163. The next prime is 229855345459219. The reversal of 229855345459200 is 2954543558922.

It is a happy number.

229855345459200 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 5 + 5 + 34 + 5 + 4 + 592 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113272719 + ... + 115284081.

Almost surely, 2^{229855345459200} is an apocalyptic number.

229855345459200 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 229855345459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424964236284224).

229855345459200 is an abundant number, since it is smaller than the sum of its proper divisors (620073127109248).

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

229855345459200 is a wasteful number, since it uses less digits than its factorization.

229855345459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011438 (or 2011404 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 63.

The spelling of 229855345459200 in words is "two hundred twenty-nine trillion, eight hundred fifty-five billion, three hundred forty-five million, four hundred fifty-nine thousand, two hundred".