181029456 has 120 divisors (see below), whose sum is σ = 529803144. Its totient is φ = 57646080.

The previous prime is 181029439. The next prime is 181029461. The reversal of 181029456 is 654920181.

181029456 is a `hidden beast` number, since 181 + 0 + 29 + 456 = 666.

181029456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1040400 + 179989056 = 1020^2 + 13416^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 181029456.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 324730 + ... + 325286.

Almost surely, 2^181029456 is an apocalyptic number.

181029456 is a gapful number since it is divisible by the number (16) 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 181029456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264901572).

181029456 is an abundant number, since it is smaller than the sum of its proper divisors (348773688).

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

181029456 is a wasteful number, since it uses less digits than its factorization.

181029456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 181029456 is about 13454.7187261570. The cubic root of 181029456 is about 565.6959664364.

The spelling of 181029456 in words is "one hundred eighty-one million, twenty-nine thousand, four hundred fifty-six".