228300905888964 has 36 divisors (see below), whose sum is σ = 611040659880924. Its totient is φ = 71623813612032.

The previous prime is 228300905888959. The next prime is 228300905888989. The reversal of 228300905888964 is 469888509003822.

228300905888964 is a `hidden beast` number, since 2 + 2 + 8 + 30 + 0 + 9 + 0 + 588 + 8 + 9 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127871044928064 + 100429860960900 = 11308008^2 + 10021470^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 228300905888892 and 228300905888901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186520347337 + ... + 186520348560.

It is an arithmetic number, because the mean of its divisors is an integer number (16973351663359).

Almost surely, 2^{228300905888964} is an apocalyptic number.

It is an amenable number.

228300905888964 is an abundant number, since it is smaller than the sum of its proper divisors (382739753991960).

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

228300905888964 is a wasteful number, since it uses less digits than its factorization.

228300905888964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373040695924 (or 373040695919 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 228300905888964 in words is "two hundred twenty-eight trillion, three hundred billion, nine hundred five million, eight hundred eighty-eight thousand, nine hundred sixty-four".