338488002048 has 960 divisors, whose sum is σ = 1179608500224. Its totient is φ = 84108902400.

The previous prime is 338488002037. The next prime is 338488002067. The reversal of 338488002048 is 840200884833.

It is a happy number.

It is a super-2 number, since 2×338488002048² (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 a junction number, because it is equal to n+sod(n) for n = 338488001988 and 338488002006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7201872361 + ... + 7201872407.

Almost surely, 2^338488002048 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 338488002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589804250112).

338488002048 is an abundant number, since it is smaller than the sum of its proper divisors (841120498176).

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

338488002048 is a wasteful number, since it uses less digits than its factorization.

338488002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 338488002048 in words is "three hundred thirty-eight billion, four hundred eighty-eight million, two thousand, forty-eight".