335017672966144 has 171 divisors, whose sum is σ = 779580034461963. Its totient is φ = 143550888542208.

The previous prime is 335017672966129. The next prime is 335017672966147. The reversal of 335017672966144 is 441669276710533.

It is a happy number.

The square root of 335017672966144 is 18303488.

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

It is a super-2 number, since 2×335017672966144² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (335017672966147) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 65599698439 + ... + 65599703545.

It is an arithmetic number, because the mean of its divisors is an integer number (4558947569953).

Almost surely, 2^{335017672966144} is an apocalyptic number.

335017672966144 is the 18303488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335017672966144

335017672966144 is an abundant number, since it is smaller than the sum of its proper divisors (444562361495819).

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

335017672966144 is an frugal number, since it uses more digits than its factorization.

335017672966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 64.

335017672966144 divided by its sum of digits (64) gives a square (5234651140096 = 2287936²).

The spelling of 335017672966144 in words is "three hundred thirty-five trillion, seventeen billion, six hundred seventy-two million, nine hundred sixty-six thousand, one hundred forty-four".