228138613632 has 384 divisors, whose sum is σ = 690422952960. Its totient is φ = 72244064256.

The previous prime is 228138613583. The next prime is 228138613643. The reversal of 228138613632 is 236316831822.

228138613632 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 3 + 8 + 6 + 1 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307050253 + ... + 307050995.

It is an arithmetic number, because the mean of its divisors is an integer number (1797976440).

Almost surely, 2^228138613632 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 228138613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345211476480).

228138613632 is an abundant number, since it is smaller than the sum of its proper divisors (462284339328).

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

228138613632 is a wasteful number, since it uses less digits than its factorization.

228138613632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 955 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 228138613632 in words is "two hundred twenty-eight billion, one hundred thirty-eight million, six hundred thirteen thousand, six hundred thirty-two".