203493064320 has 2048 divisors, whose sum is σ = 959616000000. Its totient is φ = 40382447616.

The previous prime is 203493064297. The next prime is 203493064343. The reversal of 203493064320 is 23460394302.

203493064320 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 9 + 3 + 0 + 643 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (203493064297) and next prime (203493064343).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1463978811 + ... + 1463978949.

It is an arithmetic number, because the mean of its divisors is an integer number (468562500).

Almost surely, 2^203493064320 is an apocalyptic number.

203493064320 is a gapful number since it is divisible by the number (20) 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 203493064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479808000000).

203493064320 is an abundant number, since it is smaller than the sum of its proper divisors (756122935680).

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

203493064320 is a wasteful number, since it uses less digits than its factorization.

203493064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 188 counting only the distinct ones).

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

The spelling of 203493064320 in words is "two hundred three billion, four hundred ninety-three million, sixty-four thousand, three hundred twenty".