338933403648 has 520 divisors, whose sum is σ = 1218194352320. Its totient is φ = 91729428480.

The previous prime is 338933403647. The next prime is 338933403649. The reversal of 338933403648 is 846304339833.

It is an interprime number because it is at equal distance from previous prime (338933403647) and next prime (338933403649).

It is a super-2 number, since 2×338933403648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 338933403594 and 338933403603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338933403647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44122368 + ... + 44130048.

Almost surely, 2^338933403648 is an apocalyptic number.

338933403648 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 338933403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609097176160).

338933403648 is an abundant number, since it is smaller than the sum of its proper divisors (879260948672).

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

338933403648 is an equidigital number, since it uses as much as digits as its factorization.

338933403648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7743 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 338933403648 in words is "three hundred thirty-eight billion, nine hundred thirty-three million, four hundred three thousand, six hundred forty-eight".