338550579265536 has 931 divisors, whose sum is σ = 1116703879828447. Its totient is φ = 102591084625920.

The previous prime is 338550579265441. The next prime is 338550579265601. The reversal of 338550579265536 is 635562975055833.

The square root of 338550579265536 is 18399744.

The cubic root of 338550579265536 is 69696.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

338550579265536 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 505 + 7 + 9 + 2 + 65 + 53 + 6 = 666.

It is a super-2 number, since 2×338550579265536² (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 a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 30777325387771 + ... + 30777325387781.

Almost surely, 2^{338550579265536} is an apocalyptic number.

338550579265536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

338550579265536 is the 18399744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338550579265536

338550579265536 is an abundant number, since it is smaller than the sum of its proper divisors (778153300562911).

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

338550579265536 is an frugal number, since it uses more digits than its factorization.

338550579265536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 3061800000, while the sum is 72.

The spelling of 338550579265536 in words is "three hundred thirty-eight trillion, five hundred fifty billion, five hundred seventy-nine million, two hundred sixty-five thousand, five hundred thirty-six".