338766071616 has 672 divisors, whose sum is σ = 1165877556480. Its totient is φ = 92058550272.

The previous prime is 338766071593. The next prime is 338766071629. The reversal of 338766071616 is 616170667833.

It is a happy number.

338766071616 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 6 + 607 + 16 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×338766071616² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1222982070 + ... + 1222982346.

It is an arithmetic number, because the mean of its divisors is an integer number (1734936840).

Almost surely, 2^338766071616 is an apocalyptic number.

338766071616 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 338766071616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582938778240).

338766071616 is an abundant number, since it is smaller than the sum of its proper divisors (827111484864).

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

338766071616 is a wasteful number, since it uses less digits than its factorization.

338766071616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 338766071616 in words is "three hundred thirty-eight billion, seven hundred sixty-six million, seventy-one thousand, six hundred sixteen".