228736226115072 has 1200 divisors, whose sum is σ = 782579159540640. Its totient is φ = 66108825796608.

The previous prime is 228736226115071. The next prime is 228736226115079. The reversal of 228736226115072 is 270511622637822.

228736226115072 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 3 + 622 + 6 + 1 + 1 + 5 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×228736226115072² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228736226115071) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 100809265554 + ... + 100809267822.

Almost surely, 2^{228736226115072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228736226115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391289579770320).

228736226115072 is an abundant number, since it is smaller than the sum of its proper divisors (553842933425568).

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

228736226115072 is a wasteful number, since it uses less digits than its factorization.

228736226115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 228736226115072 in words is "two hundred twenty-eight trillion, seven hundred thirty-six billion, two hundred twenty-six million, one hundred fifteen thousand, seventy-two".