181435106304 has 693 divisors, whose sum is σ = 598266293287. Its totient is φ = 54958030848.

The previous prime is 181435106297. The next prime is 181435106323. The reversal of 181435106304 is 403601534181.

The square root of 181435106304 is 425952.

It is a perfect power (a square), and thus also a powerful number.

181435106304 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 3 + 5 + 10 + 630 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17934566400 + 163500539904 = 133920^2 + 404352^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6256382962 + ... + 6256382990.

Almost surely, 2^181435106304 is an apocalyptic number.

181435106304 is the 425952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181435106304

181435106304 is an abundant number, since it is smaller than the sum of its proper divisors (416831186983).

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

181435106304 is an frugal number, since it uses more digits than its factorization.

181435106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 181435106304 by its sum of digits (36), we get a square (6531663826944 = 2555712²).

181435106304 divided by its sum of digits (36) gives a square (5039864064 = 70992²).

The spelling of 181435106304 in words is "one hundred eighty-one billion, four hundred thirty-five million, one hundred six thousand, three hundred four".