336276164480256 has 4320 divisors, whose sum is σ = 1430587309536000. Its totient is φ = 77756695511040.

The previous prime is 336276164480251. The next prime is 336276164480279. The reversal of 336276164480256 is 652084461672633.

336276164480256 is a `hidden beast` number, since 3 + 3 + 6 + 2 + 7 + 616 + 4 + 4 + 8 + 0 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×336276164480256² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 336276164480193 and 336276164480202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336276164480251) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 383439183690 + ... + 383439184566.

It is an arithmetic number, because the mean of its divisors is an integer number (331154469800).

Almost surely, 2^{336276164480256} is an apocalyptic number.

336276164480256 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 336276164480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715293654768000).

336276164480256 is an abundant number, since it is smaller than the sum of its proper divisors (1094311145055744).

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

336276164480256 is a wasteful number, since it uses less digits than its factorization.

336276164480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 336276164480256 in words is "three hundred thirty-six trillion, two hundred seventy-six billion, one hundred sixty-four million, four hundred eighty thousand, two hundred fifty-six".