338666572800 has 1056 divisors, whose sum is σ = 1318768450560. Its totient is φ = 86056058880.

The previous prime is 338666572781. The next prime is 338666572813. The reversal of 338666572800 is 8275666833.

It is a super-2 number, since 2×338666572800² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1287705469 + ... + 1287705731.

It is an arithmetic number, because the mean of its divisors is an integer number (1248833760).

Almost surely, 2^338666572800 is an apocalyptic number.

338666572800 is a gapful number since it is divisible by the number (30) 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 338666572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659384225280).

338666572800 is an abundant number, since it is smaller than the sum of its proper divisors (980101877760).

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

338666572800 is an equidigital number, since it uses as much as digits as its factorization.

338666572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 338666572800 in words is "three hundred thirty-eight billion, six hundred sixty-six million, five hundred seventy-two thousand, eight hundred".