228696176915136 has 336 divisors, whose sum is σ = 752050079539200. Its totient is φ = 65090246455296.

The previous prime is 228696176915123. The next prime is 228696176915137. The reversal of 228696176915136 is 631519671696822.

It is a happy number.

228696176915136 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 9 + 6 + 17 + 6 + 91 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (228696176915137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249211575 + ... + 1249394633.

Almost surely, 2^{228696176915136} 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 228696176915136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376025039769600).

228696176915136 is an abundant number, since it is smaller than the sum of its proper divisors (523353902624064).

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

228696176915136 is a wasteful number, since it uses less digits than its factorization.

228696176915136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184276 (or 184263 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 228696176915136 in words is "two hundred twenty-eight trillion, six hundred ninety-six billion, one hundred seventy-six million, nine hundred fifteen thousand, one hundred thirty-six".