338331378472800 has 432 divisors, whose sum is σ = 1179310678067088. Its totient is φ = 84194151219200.

The previous prime is 338331378472753. The next prime is 338331378472837. The reversal of 338331378472800 is 8274873133833.

It is a happy number.

It is a super-2 number, since 2×338331378472800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48803764 + ... + 55303436.

It is an arithmetic number, because the mean of its divisors is an integer number (2729885828859).

Almost surely, 2^{338331378472800} is an apocalyptic number.

338331378472800 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 338331378472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589655339033544).

338331378472800 is an abundant number, since it is smaller than the sum of its proper divisors (840979299594288).

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

338331378472800 is a wasteful number, since it uses less digits than its factorization.

338331378472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499783 (or 6499747 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 338331378472800 in words is "three hundred thirty-eight trillion, three hundred thirty-one billion, three hundred seventy-eight million, four hundred seventy-two thousand, eight hundred".