229400656804800 has 1344 divisors, whose sum is σ = 968147934566400. Its totient is φ = 52357537382400.

The previous prime is 229400656804799. The next prime is 229400656804859. The reversal of 229400656804800 is 8408656004922.

229400656804800 is a `hidden beast` number, since 2 + 2 + 9 + 40 + 0 + 65 + 68 + 0 + 480 + 0 = 666.

It is a super-2 number, since 2×229400656804800² (a number of 30 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 501280090 + ... + 501737510.

It is an arithmetic number, because the mean of its divisors is an integer number (720348165600).

Almost surely, 2^{229400656804800} is an apocalyptic number.

229400656804800 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 229400656804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484073967283200).

229400656804800 is an abundant number, since it is smaller than the sum of its proper divisors (738747277761600).

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

229400656804800 is a wasteful number, since it uses less digits than its factorization.

229400656804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457531 (or 457510 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 229400656804800 in words is "two hundred twenty-nine trillion, four hundred billion, six hundred fifty-six million, eight hundred four thousand, eight hundred".