338603231232 has 384 divisors, whose sum is σ = 1159310880000. Its totient is φ = 95647039488.

The previous prime is 338603231209. The next prime is 338603231273. The reversal of 338603231232 is 232132306833.

338603231232 is a `hidden beast` number, since 3 + 3 + 8 + 603 + 2 + 3 + 12 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×338603231232² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34444494 + ... + 34454322.

It is an arithmetic number, because the mean of its divisors is an integer number (3019038750).

Almost surely, 2^338603231232 is an apocalyptic number.

338603231232 is a gapful number since it is divisible by the number (32) 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 338603231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579655440000).

338603231232 is an abundant number, since it is smaller than the sum of its proper divisors (820707648768).

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

338603231232 is an equidigital number, since it uses as much as digits as its factorization.

338603231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 338603231232 in words is "three hundred thirty-eight billion, six hundred three million, two hundred thirty-one thousand, two hundred thirty-two".