341011875456 has 384 divisors, whose sum is σ = 1152263024640. Its totient is φ = 94772183040.

The previous prime is 341011875419. The next prime is 341011875541. The reversal of 341011875456 is 654578110143.

341011875456 is a `hidden beast` number, since 3 + 4 + 10 + 1 + 187 + 5 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

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, 126627646 + ... + 126630338.

It is an arithmetic number, because the mean of its divisors is an integer number (3000684960).

Almost surely, 2^341011875456 is an apocalyptic number.

341011875456 is a gapful number since it is divisible by the number (36) 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 341011875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576131512320).

341011875456 is an abundant number, since it is smaller than the sum of its proper divisors (811251149184).

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

341011875456 is a wasteful number, since it uses less digits than its factorization.

341011875456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 341011875456 its reverse (654578110143), we get a palindrome (995589985599).

The spelling of 341011875456 in words is "three hundred forty-one billion, eleven million, eight hundred seventy-five thousand, four hundred fifty-six".