228690885153120 has 768 divisors, whose sum is σ = 843251834880000. Its totient is φ = 51592359075840.

The previous prime is 228690885153041. The next prime is 228690885153223. The reversal of 228690885153120 is 21351588096822.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12860075749 + ... + 12860093531.

It is an arithmetic number, because the mean of its divisors is an integer number (1097984160000).

Almost surely, 2^{228690885153120} is an apocalyptic number.

228690885153120 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 228690885153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421625917440000).

228690885153120 is an abundant number, since it is smaller than the sum of its proper divisors (614560949726880).

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

228690885153120 is a wasteful number, since it uses less digits than its factorization.

228690885153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21363 (or 21355 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 228690885153120 in words is "two hundred twenty-eight trillion, six hundred ninety billion, eight hundred eighty-five million, one hundred fifty-three thousand, one hundred twenty".