203245601328 has 640 divisors, whose sum is σ = 768636518400. Its totient is φ = 49816166400.

The previous prime is 203245601327. The next prime is 203245601329. The reversal of 203245601328 is 823106542302.

203245601328 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 45 + 601 + 3 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (203245601327) and next prime (203245601329).

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

It is a junction number, because it is equal to n+sod(n) for n = 203245601292 and 203245601301.

It is not an unprimeable number, because it can be changed into a prime (203245601323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223101193 + ... + 223102103.

It is an arithmetic number, because the mean of its divisors is an integer number (1200994560).

Almost surely, 2^203245601328 is an apocalyptic number.

203245601328 is a gapful number since it is divisible by the number (28) 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 203245601328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384318259200).

203245601328 is an abundant number, since it is smaller than the sum of its proper divisors (565390917072).

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

203245601328 is a wasteful number, since it uses less digits than its factorization.

203245601328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 203245601328 in words is "two hundred three billion, two hundred forty-five million, six hundred one thousand, three hundred twenty-eight".