336080409590016 has 1215 divisors, whose sum is σ = 1263217657693761. Its totient is φ = 88573234434048.

The previous prime is 336080409589993. The next prime is 336080409590047. The reversal of 336080409590016 is 610095904080633.

The square root of 336080409590016 is 18332496.

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

336080409590016 is a `hidden beast` number, since 3 + 3 + 6 + 0 + 8 + 0 + 40 + 9 + 590 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49716036921600 + 286364372668416 = 7050960^2 + 16922304^2 .

It is a super-2 number, since 2×336080409590016² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 240229026885 + ... + 240229028283.

Almost surely, 2^{336080409590016} is an apocalyptic number.

336080409590016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

336080409590016 is the 18332496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336080409590016

336080409590016 is an abundant number, since it is smaller than the sum of its proper divisors (927137248103745).

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

336080409590016 is an frugal number, since it uses more digits than its factorization.

336080409590016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 336080409590016 in words is "three hundred thirty-six trillion, eighty billion, four hundred nine million, five hundred ninety thousand, sixteen".