185290000434 has 192 divisors, whose sum is σ = 527433154560. Its totient is φ = 45545276160.

The previous prime is 185290000433. The next prime is 185290000457. The reversal of 185290000434 is 434000092581.

It is not an unprimeable number, because it can be changed into a prime (185290000433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28621822 + ... + 28628294.

It is an arithmetic number, because the mean of its divisors is an integer number (2747047680).

Almost surely, 2^185290000434 is an apocalyptic number.

185290000434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 185290000434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263716577280).

185290000434 is an abundant number, since it is smaller than the sum of its proper divisors (342143154126).

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

185290000434 is a wasteful number, since it uses less digits than its factorization.

185290000434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7605 (or 7602 counting only the distinct ones).

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

The spelling of 185290000434 in words is "one hundred eighty-five billion, two hundred ninety million, four hundred thirty-four", and thus it is an aban number.