333461345333776 has 135 divisors (see below), whose sum is σ = 754417583941063. Its totient is φ = 142651416540160.

The previous prime is 333461345333729. The next prime is 333461345333777. The reversal of 333461345333776 is 677333543164333.

It is a happy number.

The square root of 333461345333776 is 18260924.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 194413973776 + 333266931360000 = 440924^2 + 18255600^2 .

It is a super-2 number, since 2×333461345333776² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (333461345333777) 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 26 ways as a sum of consecutive naturals, for example, 13659158946 + ... + 13659183358.

Almost surely, 2^{333461345333776} is an apocalyptic number.

333461345333776 is the 18260924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333461345333776

333461345333776 is an abundant number, since it is smaller than the sum of its proper divisors (420956238607287).

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

333461345333776 is an frugal number, since it uses more digits than its factorization.

333461345333776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48890 (or 24443 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 61.

The spelling of 333461345333776 in words is "three hundred thirty-three trillion, four hundred sixty-one billion, three hundred forty-five million, three hundred thirty-three thousand, seven hundred seventy-six".