338964124224 has 224 divisors, whose sum is σ = 1003297236480. Its totient is φ = 100105113600.

The previous prime is 338964124223. The next prime is 338964124249. The reversal of 338964124224 is 422421469833.

It is a super-2 number, since 2×338964124224² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (338964124223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126336387 + ... + 126339069.

It is an arithmetic number, because the mean of its divisors is an integer number (4479005520).

Almost surely, 2^338964124224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338964124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501648618240).

338964124224 is an abundant number, since it is smaller than the sum of its proper divisors (664333112256).

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

338964124224 is a wasteful number, since it uses less digits than its factorization.

338964124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209 (or 4199 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 338964124224 in words is "three hundred thirty-eight billion, nine hundred sixty-four million, one hundred twenty-four thousand, two hundred twenty-four".