338793490560 has 512 divisors, whose sum is σ = 1261397606400. Its totient is φ = 75748442112.

The previous prime is 338793490559. The next prime is 338793490561. The reversal of 338793490560 is 65094397833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (338793490559) and next prime (338793490561).

It is a super-2 number, since 2×338793490560² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338793490560.

It is not an unprimeable number, because it can be changed into a prime (338793490561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124600881 + ... + 124603599.

It is an arithmetic number, because the mean of its divisors is an integer number (2463667200).

Almost surely, 2^338793490560 is an apocalyptic number.

338793490560 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 338793490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630698803200).

338793490560 is an abundant number, since it is smaller than the sum of its proper divisors (922604115840).

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

338793490560 is a wasteful number, since it uses less digits than its factorization.

338793490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 57.

The spelling of 338793490560 in words is "three hundred thirty-eight billion, seven hundred ninety-three million, four hundred ninety thousand, five hundred sixty".