228072631584000 has 3456 divisors, whose sum is σ = 972534669410304. Its totient is φ = 46324776960000.

The previous prime is 228072631583999. The next prime is 228072631584103. The reversal of 228072631584000 is 485136270822.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 258879263560 + ... + 258879264440.

It is an arithmetic number, because the mean of its divisors is an integer number (281404707584).

Almost surely, 2^{228072631584000} is an apocalyptic number.

228072631584000 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 228072631584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486267334705152).

228072631584000 is an abundant number, since it is smaller than the sum of its proper divisors (744462037826304).

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

228072631584000 is a wasteful number, since it uses less digits than its factorization.

228072631584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 228072631584000 in words is "two hundred twenty-eight trillion, seventy-two billion, six hundred thirty-one million, five hundred eighty-four thousand".