228506270853120 has 768 divisors, whose sum is σ = 822466416844800. Its totient is φ = 53777191403520.

The previous prime is 228506270853101. The next prime is 228506270853143. The reversal of 228506270853120 is 21358072605822.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×228506270853120² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027442091 + ... + 1027664469.

It is an arithmetic number, because the mean of its divisors is an integer number (1070919813600).

Almost surely, 2^{228506270853120} is an apocalyptic number.

228506270853120 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 228506270853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411233208422400).

228506270853120 is an abundant number, since it is smaller than the sum of its proper divisors (593960145991680).

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

228506270853120 is a wasteful number, since it uses less digits than its factorization.

228506270853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222536 (or 222516 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 228506270853120 in words is "two hundred twenty-eight trillion, five hundred six billion, two hundred seventy million, eight hundred fifty-three thousand, one hundred twenty".