341586458820 has 144 divisors (see below), whose sum is σ = 1045532359872. Its totient is φ = 90266492160.

The previous prime is 341586458797. The next prime is 341586458821. The reversal of 341586458820 is 28854685143.

341586458820 is a `hidden beast` number, since 3 + 4 + 1 + 58 + 6 + 4 + 588 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (341586458821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17274259 + ... + 17294021.

It is an arithmetic number, because the mean of its divisors is an integer number (7260641388).

Almost surely, 2^341586458820 is an apocalyptic number.

341586458820 is a gapful number since it is divisible by the number (30) 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 341586458820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522766179936).

341586458820 is an abundant number, since it is smaller than the sum of its proper divisors (703945901052).

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

341586458820 is a wasteful number, since it uses less digits than its factorization.

341586458820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20642 (or 20637 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 341586458820 in words is "three hundred forty-one billion, five hundred eighty-six million, four hundred fifty-eight thousand, eight hundred twenty".