336332316284664 has 192 divisors, whose sum is σ = 996612656941440. Its totient is φ = 94277249015040.

The previous prime is 336332316284641. The next prime is 336332316284711. The reversal of 336332316284664 is 466482613233633.

It is a super-2 number, since 2×336332316284664² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 336332316284598 and 336332316284607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1401200419 + ... + 1401440429.

It is an arithmetic number, because the mean of its divisors is an integer number (5190690921570).

Almost surely, 2^{336332316284664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336332316284664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498306328470720).

336332316284664 is an abundant number, since it is smaller than the sum of its proper divisors (660280340656776).

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

336332316284664 is a wasteful number, since it uses less digits than its factorization.

336332316284664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262570 (or 262559 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 60.

The spelling of 336332316284664 in words is "three hundred thirty-six trillion, three hundred thirty-two billion, three hundred sixteen million, two hundred eighty-four thousand, six hundred sixty-four".