341993244960 has 384 divisors, whose sum is σ = 1289321349120. Its totient is φ = 84418329600.

The previous prime is 341993244959. The next prime is 341993244973. The reversal of 341993244960 is 69442399143.

341993244960 is a `hidden beast` number, since 3 + 4 + 199 + 3 + 2 + 449 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 341993244897 and 341993244906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3024645 + ... + 3135675.

It is an arithmetic number, because the mean of its divisors is an integer number (3357607680).

Almost surely, 2^341993244960 is an apocalyptic number.

341993244960 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 341993244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644660674560).

341993244960 is an abundant number, since it is smaller than the sum of its proper divisors (947328104160).

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

341993244960 is a wasteful number, since it uses less digits than its factorization.

341993244960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111109 (or 111095 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 341993244960 in words is "three hundred forty-one billion, nine hundred ninety-three million, two hundred forty-four thousand, nine hundred sixty".