1829645055 has 144 divisors (see below), whose sum is σ = 3943779840. Its totient is φ = 780506496.

The previous prime is 1829645023. The next prime is 1829645057. The reversal of 1829645055 is 5505469281.

1829645055 is a `hidden beast` number, since 1 + 82 + 9 + 64 + 505 + 5 = 666.

It is not a de Polignac number, because 1829645055 - 2⁵ = 1829645023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1829645055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829645057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2180326 + ... + 2181164.

It is an arithmetic number, because the mean of its divisors is an integer number (27387360).

Almost surely, 2^1829645055 is an apocalyptic number.

1829645055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1829645055 is an abundant number, since it is smaller than the sum of its proper divisors (2114134785).

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

1829645055 is a wasteful number, since it uses less digits than its factorization.

1829645055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 1829645055 is about 42774.3504334081. The cubic root of 1829645055 is about 1223.0821145319.

The spelling of 1829645055 in words is "one billion, eight hundred twenty-nine million, six hundred forty-five thousand, fifty-five".