239682134016 has 336 divisors, whose sum is σ = 752570667576. Its totient is φ = 73062678528.

The previous prime is 239682133993. The next prime is 239682134099. The reversal of 239682134016 is 610431286932.

239682134016 is a `hidden beast` number, since 2 + 396 + 8 + 213 + 40 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 171197337600 + 68484796416 = 413760^2 + 261696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108305326 + ... + 108307538.

Almost surely, 2^239682134016 is an apocalyptic number.

239682134016 is a gapful number since it is divisible by the number (26) 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 239682134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376285333788).

239682134016 is an abundant number, since it is smaller than the sum of its proper divisors (512888533560).

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

239682134016 is a wasteful number, since it uses less digits than its factorization.

239682134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 239682134016 in words is "two hundred thirty-nine billion, six hundred eighty-two million, one hundred thirty-four thousand, sixteen".