228634375046000 has 1600 divisors, whose sum is σ = 737752986786816. Its totient is φ = 67831416576000.

The previous prime is 228634375045997. The next prime is 228634375046041. The reversal of 228634375046000 is 640573436822.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 228634375046000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 372976141694 + ... + 372976142306.

Almost surely, 2^{228634375046000} is an apocalyptic number.

228634375046000 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 228634375046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368876493393408).

228634375046000 is an abundant number, since it is smaller than the sum of its proper divisors (509118611740816).

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

228634375046000 is a wasteful number, since it uses less digits than its factorization.

228634375046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 50.

The spelling of 228634375046000 in words is "two hundred twenty-eight trillion, six hundred thirty-four billion, three hundred seventy-five million, forty-six thousand".