228184976153088 has 240 divisors, whose sum is σ = 697588405268040. Its totient is φ = 71557419368448.

The previous prime is 228184976153081. The next prime is 228184976153107. The reversal of 228184976153088 is 880351679481822.

228184976153088 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 8 + 4 + 9 + 7 + 6 + 1 + 530 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 156060857274624 + 72124118878464 = 12492432^2 + 8492592^2 .

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 (228184976153081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186535056 + ... + 187754352.

It is a 1-persistent number, because it is pandigital, but 2⋅228184976153088 = 456369952306176 is not.

Almost surely, 2^{228184976153088} 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 228184976153088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348794202634020).

228184976153088 is an abundant number, since it is smaller than the sum of its proper divisors (469403429114952).

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

228184976153088 is a wasteful number, since it uses less digits than its factorization.

228184976153088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221727 (or 1221708 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 228184976153088 in words is "two hundred twenty-eight trillion, one hundred eighty-four billion, nine hundred seventy-six million, one hundred fifty-three thousand, eighty-eight".