338646458232 has 224 divisors, whose sum is σ = 1009290365280. Its totient is φ = 106106941440.

The previous prime is 338646458197. The next prime is 338646458273. The reversal of 338646458232 is 232854646833.

338646458232 is a `hidden beast` number, since 33 + 86 + 464 + 58 + 23 + 2 = 666.

It is a super-2 number, since 2×338646458232² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 102215808 + ... + 102219120.

Almost surely, 2^338646458232 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 338646458232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504645182640).

338646458232 is an abundant number, since it is smaller than the sum of its proper divisors (670643907048).

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

338646458232 is a wasteful number, since it uses less digits than its factorization.

338646458232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4366 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 338646458232 in words is "three hundred thirty-eight billion, six hundred forty-six million, four hundred fifty-eight thousand, two hundred thirty-two".