336242341695744 has 243 divisors, whose sum is σ = 1065645990703749. Its totient is φ = 101888684789760.

The previous prime is 336242341695739. The next prime is 336242341695749. The reversal of 336242341695744 is 447596143242633.

The square root of 336242341695744 is 18336912.

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

336242341695744 is a `hidden beast` number, since 3 + 3 + 6 + 2 + 42 + 3 + 4 + 16 + 9 + 574 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (336242341695739) and next prime (336242341695749).

It can be written as a sum of positive squares in only one way, i.e., 5572847833344 + 330669493862400 = 2360688^2 + 18184320^2 .

It is a super-2 number, since 2×336242341695744² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336242341695749) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9681872172 + ... + 9681906900.

Almost surely, 2^{336242341695744} is an apocalyptic number.

336242341695744 is the 18336912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336242341695744

336242341695744 is an abundant number, since it is smaller than the sum of its proper divisors (729403649008005).

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

336242341695744 is an frugal number, since it uses more digits than its factorization.

336242341695744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69502 (or 34745 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 63.

The spelling of 336242341695744 in words is "three hundred thirty-six trillion, two hundred forty-two billion, three hundred forty-one million, six hundred ninety-five thousand, seven hundred forty-four".