228299552756352 has 1440 divisors, whose sum is σ = 915896848046400. Its totient is φ = 55810038251520.

The previous prime is 228299552756347. The next prime is 228299552756399. The reversal of 228299552756352 is 253657255992822.

It is a happy number.

228299552756352 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 9 + 9 + 5 + 5 + 2 + 7 + 563 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1614963049 + ... + 1615104407.

It is an arithmetic number, because the mean of its divisors is an integer number (636039477810).

Almost surely, 2^{228299552756352} is an apocalyptic number.

228299552756352 is a gapful number since it is divisible by the number (22) 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 228299552756352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457948424023200).

228299552756352 is an abundant number, since it is smaller than the sum of its proper divisors (687597295290048).

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

228299552756352 is a wasteful number, since it uses less digits than its factorization.

228299552756352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141444 (or 141399 counting only the distinct ones).

The product of its digits is 1632960000, while the sum is 72.

The spelling of 228299552756352 in words is "two hundred twenty-eight trillion, two hundred ninety-nine billion, five hundred fifty-two million, seven hundred fifty-six thousand, three hundred fifty-two".