228925029477312 has 672 divisors, whose sum is σ = 796641104240640. Its totient is φ = 64262088253440.

The previous prime is 228925029477281. The next prime is 228925029477377. The reversal of 228925029477312 is 213774920529822.

228925029477312 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 2 + 502 + 9 + 47 + 73 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×228925029477312² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 228925029477312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2172715512 + ... + 2172820872.

Almost surely, 2^{228925029477312} 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 228925029477312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398320552120320).

228925029477312 is an abundant number, since it is smaller than the sum of its proper divisors (567716074763328).

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

228925029477312 is a wasteful number, since it uses less digits than its factorization.

228925029477312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105846 (or 105823 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 228925029477312 in words is "two hundred twenty-eight trillion, nine hundred twenty-five billion, twenty-nine million, four hundred seventy-seven thousand, three hundred twelve".