228672046289232 has 1920 divisors, whose sum is σ = 853825102807040. Its totient is φ = 55464413921280.

The previous prime is 228672046289227. The next prime is 228672046289249. The reversal of 228672046289232 is 232982640276822.

It is a happy number.

228672046289232 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 72 + 0 + 462 + 89 + 23 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 228672046289232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 362396269557 + ... + 362396270187.

Almost surely, 2^{228672046289232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228672046289232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426912551403520).

228672046289232 is an abundant number, since it is smaller than the sum of its proper divisors (625153056517808).

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

228672046289232 is a wasteful number, since it uses less digits than its factorization.

228672046289232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 228672046289232 in words is "two hundred twenty-eight trillion, six hundred seventy-two billion, forty-six million, two hundred eighty-nine thousand, two hundred thirty-two".