228747464629200 has 1200 divisors, whose sum is σ = 935295525648000. Its totient is φ = 52999291699200.

The previous prime is 228747464629181. The next prime is 228747464629231. The reversal of 228747464629200 is 2926464747822.

It is a happy number.

228747464629200 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 47 + 46 + 462 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×228747464629200³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10566179976 + ... + 10566201624.

It is an arithmetic number, because the mean of its divisors is an integer number (779412938040).

Almost surely, 2^{228747464629200} is an apocalyptic number.

228747464629200 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 228747464629200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467647762824000).

228747464629200 is an abundant number, since it is smaller than the sum of its proper divisors (706548061018800).

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

228747464629200 is a wasteful number, since it uses less digits than its factorization.

228747464629200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23002 (or 22982 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 228747464629200 in words is "two hundred twenty-eight trillion, seven hundred forty-seven billion, four hundred sixty-four million, six hundred twenty-nine thousand, two hundred".