181028751438852 has 288 divisors, whose sum is σ = 470476287590400. Its totient is φ = 58676618246400.

The previous prime is 181028751438823. The next prime is 181028751438907. The reversal of 181028751438852 is 258834157820181.

It is a happy number.

181028751438852 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 2 + 8 + 7 + 514 + 38 + 85 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 181028751438852.

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, 63496579227 + ... + 63496582077.

It is an arithmetic number, because the mean of its divisors is an integer number (1633598220800).

Almost surely, 2^{181028751438852} is an apocalyptic number.

181028751438852 is a gapful number since it is divisible by the number (12) 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 181028751438852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235238143795200).

181028751438852 is an abundant number, since it is smaller than the sum of its proper divisors (289447536151548).

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

181028751438852 is a wasteful number, since it uses less digits than its factorization.

181028751438852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 63.

The spelling of 181028751438852 in words is "one hundred eighty-one trillion, twenty-eight billion, seven hundred fifty-one million, four hundred thirty-eight thousand, eight hundred fifty-two".