203827342934016 has 544 divisors, whose sum is σ = 636411151084800. Its totient is φ = 64295959265280.

The previous prime is 203827342934011. The next prime is 203827342934057. The reversal of 203827342934016 is 610439243728302.

It is a happy number.

203827342934016 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 273 + 4 + 29 + 340 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203827342934011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36679382310 + ... + 36679387866.

Almost surely, 2^{203827342934016} 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 203827342934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318205575542400).

203827342934016 is an abundant number, since it is smaller than the sum of its proper divisors (432583808150784).

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

203827342934016 is an equidigital number, since it uses as much as digits as its factorization.

203827342934016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 203827342934016 in words is "two hundred three trillion, eight hundred twenty-seven billion, three hundred forty-two million, nine hundred thirty-four thousand, sixteen".