1816528234752 has 1728 divisors, whose sum is σ = 7072352501760. Its totient is φ = 434759270400.

The previous prime is 1816528234751. The next prime is 1816528234757. The reversal of 1816528234752 is 2574328256181.

It is a happy number.

1816528234752 is a `hidden beast` number, since 1 + 8 + 1 + 6 + 528 + 23 + 47 + 52 = 666.

Its product of digits (6451200) is a multiple of the sum of its prime factors (300).

It is not an unprimeable number, because it can be changed into a prime (1816528234751) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16075471048 + ... + 16075471160.

Almost surely, 2^{1816528234752} is an apocalyptic number.

1816528234752 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 1816528234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536176250880).

1816528234752 is an abundant number, since it is smaller than the sum of its proper divisors (5255824267008).

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

1816528234752 is a wasteful number, since it uses less digits than its factorization.

1816528234752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 1816528234752 in words is "one trillion, eight hundred sixteen billion, five hundred twenty-eight million, two hundred thirty-four thousand, seven hundred fifty-two".