336106809216 has 192 divisors, whose sum is σ = 1050930316800. Its totient is φ = 102714946560.

The previous prime is 336106809211. The next prime is 336106809251. The reversal of 336106809216 is 612908601633.

336106809216 is a `hidden beast` number, since 3 + 3 + 610 + 6 + 8 + 0 + 9 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×336106809216² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336106809211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430855 + ... + 926201.

It is an arithmetic number, because the mean of its divisors is an integer number (5473595400).

Almost surely, 2^336106809216 is an apocalyptic number.

336106809216 is a gapful number since it is divisible by the number (36) 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 336106809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525465158400).

336106809216 is an abundant number, since it is smaller than the sum of its proper divisors (714823507584).

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

336106809216 is a wasteful number, since it uses less digits than its factorization.

336106809216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495417 (or 495402 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 336106809216 in words is "three hundred thirty-six billion, one hundred six million, eight hundred nine thousand, two hundred sixteen".