338566580352 has 2304 divisors, whose sum is σ = 1454969779200. Its totient is φ = 76640256000.

The previous prime is 338566580293. The next prime is 338566580377. The reversal of 338566580352 is 253085665833.

338566580352 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 6 + 6 + 580 + 3 + 52 = 666.

It is a super-2 number, since 2×338566580352² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8257721452 + ... + 8257721492.

It is an arithmetic number, because the mean of its divisors is an integer number (631497300).

Almost surely, 2^338566580352 is an apocalyptic number.

338566580352 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 338566580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727484889600).

338566580352 is an abundant number, since it is smaller than the sum of its proper divisors (1116403198848).

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

338566580352 is a wasteful number, since it uses less digits than its factorization.

338566580352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 338566580352 in words is "three hundred thirty-eight billion, five hundred sixty-six million, five hundred eighty thousand, three hundred fifty-two".