338413960248000 has 2688 divisors, whose sum is σ = 1488155349897216. Its totient is φ = 66932490240000.

The previous prime is 338413960247981. The next prime is 338413960248011. The reversal of 338413960248000 is 842069314833.

It is a super-2 number, since 2×338413960248000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68352645525 + ... + 68352650475.

It is an arithmetic number, because the mean of its divisors is an integer number (553629222432).

Almost surely, 2^{338413960248000} is an apocalyptic number.

338413960248000 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 338413960248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744077674948608).

338413960248000 is an abundant number, since it is smaller than the sum of its proper divisors (1149741389649216).

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

338413960248000 is a wasteful number, since it uses less digits than its factorization.

338413960248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 338413960248000 in words is "three hundred thirty-eight trillion, four hundred thirteen billion, nine hundred sixty million, two hundred forty-eight thousand".