338591618279712 has 672 divisors, whose sum is σ = 1186108416218880. Its totient is φ = 93049091573760.

The previous prime is 338591618279623. The next prime is 338591618279723. The reversal of 338591618279712 is 217972816195833.

It is a happy number.

338591618279712 is a `hidden beast` number, since 3 + 3 + 8 + 591 + 6 + 1 + 8 + 27 + 9 + 7 + 1 + 2 = 666.

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

It is a super-2 number, since 2×338591618279712² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1245322662 + ... + 1245594522.

It is an arithmetic number, because the mean of its divisors is an integer number (1765042286040).

Almost surely, 2^{338591618279712} is an apocalyptic number.

338591618279712 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 338591618279712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593054208109440).

338591618279712 is an abundant number, since it is smaller than the sum of its proper divisors (847516797939168).

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

338591618279712 is a wasteful number, since it uses less digits than its factorization.

338591618279712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272188 (or 272165 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 338591618279712 in words is "three hundred thirty-eight trillion, five hundred ninety-one billion, six hundred eighteen million, two hundred seventy-nine thousand, seven hundred twelve".