181034030268 has 960 divisors, whose sum is σ = 650454368256. Its totient is φ = 42550272000.

The previous prime is 181034030257. The next prime is 181034030297. The reversal of 181034030268 is 862030430181.

181034030268 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 340 + 302 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 947822053 + ... + 947822243.

Almost surely, 2^181034030268 is an apocalyptic number.

181034030268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181034030268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325227184128).

181034030268 is an abundant number, since it is smaller than the sum of its proper divisors (469420337988).

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

181034030268 is a wasteful number, since it uses less digits than its factorization.

181034030268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 181034030268 in words is "one hundred eighty-one billion, thirty-four million, thirty thousand, two hundred sixty-eight".