338536169712 has 320 divisors, whose sum is σ = 1109595231360. Its totient is φ = 97899134976.

The previous prime is 338536169711. The next prime is 338536169737. The reversal of 338536169712 is 217961635833.

338536169712 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 3 + 616 + 9 + 7 + 12 = 666.

It is a super-2 number, since 2×338536169712² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338536169711) 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, 81435538 + ... + 81439694.

It is an arithmetic number, because the mean of its divisors is an integer number (3467485098).

Almost surely, 2^338536169712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338536169712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554797615680).

338536169712 is an abundant number, since it is smaller than the sum of its proper divisors (771059061648).

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

338536169712 is a wasteful number, since it uses less digits than its factorization.

338536169712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5045 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 338536169712 in words is "three hundred thirty-eight billion, five hundred thirty-six million, one hundred sixty-nine thousand, seven hundred twelve".