338138747648 has 432 divisors, whose sum is σ = 804361420800. Its totient is φ = 141296762880.

The previous prime is 338138747623. The next prime is 338138747711. The reversal of 338138747648 is 846747831833.

It is a happy number.

It is a super-2 number, since 2×338138747648² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2662509761 + ... + 2662509887.

Almost surely, 2^338138747648 is an apocalyptic number.

338138747648 is a gapful number since it is divisible by the number (38) 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 338138747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402180710400).

338138747648 is an abundant number, since it is smaller than the sum of its proper divisors (466222673152).

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

338138747648 is a wasteful number, since it uses less digits than its factorization.

338138747648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 281 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 62.

The spelling of 338138747648 in words is "three hundred thirty-eight billion, one hundred thirty-eight million, seven hundred forty-seven thousand, six hundred forty-eight".