341461062144 has 240 divisors, whose sum is σ = 1051098593688. Its totient is φ = 106339762176.

The previous prime is 341461062133. The next prime is 341461062167. The reversal of 341461062144 is 441260164143.

341461062144 is a `hidden beast` number, since 3 + 4 + 14 + 6 + 10 + 621 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 341186828544 + 274233600 = 584112^2 + 16560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 341461062099 and 341461062108.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10716124 + ... + 10747940.

Almost surely, 2^341461062144 is an apocalyptic number.

341461062144 is a gapful number since it is divisible by the number (34) 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 341461062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525549296844).

341461062144 is an abundant number, since it is smaller than the sum of its proper divisors (709637531544).

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

341461062144 is a wasteful number, since it uses less digits than its factorization.

341461062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31995 (or 31976 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 341461062144 in words is "three hundred forty-one billion, four hundred sixty-one million, sixty-two thousand, one hundred forty-four".