228969946022400 has 1920 divisors, whose sum is σ = 954047194214400. Its totient is φ = 53299607961600.

The previous prime is 228969946022399. The next prime is 228969946022413. The reversal of 228969946022400 is 4220649969822.

228969946022400 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 69 + 94 + 60 + 22 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9469773511 + ... + 9469797689.

It is an arithmetic number, because the mean of its divisors is an integer number (496899580320).

Almost surely, 2^{228969946022400} is an apocalyptic number.

228969946022400 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 228969946022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477023597107200).

228969946022400 is an abundant number, since it is smaller than the sum of its proper divisors (725077248192000).

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

228969946022400 is a wasteful number, since it uses less digits than its factorization.

228969946022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24327 (or 24300 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 228969946022400 in words is "two hundred twenty-eight trillion, nine hundred sixty-nine billion, nine hundred forty-six million, twenty-two thousand, four hundred".