338416847188992 has 704 divisors, whose sum is σ = 1179455434214400. Its totient is φ = 94500142940160.

The previous prime is 338416847188943. The next prime is 338416847188999. The reversal of 338416847188992 is 299881748614833.

338416847188992 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 1 + 68 + 471 + 8 + 89 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×338416847188992² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338416847188999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2320727859 + ... + 2320873677.

Almost surely, 2^{338416847188992} is an apocalyptic number.

338416847188992 is a gapful number since it is divisible by the number (32) 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 338416847188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589727717107200).

338416847188992 is an abundant number, since it is smaller than the sum of its proper divisors (841038587025408).

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

338416847188992 is a wasteful number, since it uses less digits than its factorization.

338416847188992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146459 (or 146435 counting only the distinct ones).

The product of its digits is 4013162496, while the sum is 81.

The spelling of 338416847188992 in words is "three hundred thirty-eight trillion, four hundred sixteen billion, eight hundred forty-seven million, one hundred eighty-eight thousand, nine hundred ninety-two".