228636414720 has 1728 divisors, whose sum is σ = 1004112547200. Its totient is φ = 49049763840.

The previous prime is 228636414691. The next prime is 228636414763. The reversal of 228636414720 is 27414636822.

It is a happy number.

228636414720 is a `hidden beast` number, since 2 + 2 + 8 + 636 + 4 + 1 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×228636414720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2568948436 + ... + 2568948524.

It is an arithmetic number, because the mean of its divisors is an integer number (581083650).

Almost surely, 2^228636414720 is an apocalyptic number.

228636414720 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 228636414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502056273600).

228636414720 is an abundant number, since it is smaller than the sum of its proper divisors (775476132480).

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

228636414720 is a wasteful number, since it uses less digits than its factorization.

228636414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 228636414720 in words is "two hundred twenty-eight billion, six hundred thirty-six million, four hundred fourteen thousand, seven hundred twenty".