1903641994368 has 192 divisors, whose sum is σ = 5674885515000. Its totient is φ = 611794649088.

The previous prime is 1903641994367. The next prime is 1903641994393. The reversal of 1903641994368 is 8634991463091.

1903641994368 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 6 + 4 + 199 + 436 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1290477824064 + 613164170304 = 1135992^2 + 783048^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1903641994361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23646088 + ... + 23726456.

Almost surely, 2^{1903641994368} is an apocalyptic number.

1903641994368 is a gapful number since it is divisible by the number (18) 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 1903641994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837442757500).

1903641994368 is an abundant number, since it is smaller than the sum of its proper divisors (3771243520632).

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

1903641994368 is a wasteful number, since it uses less digits than its factorization.

1903641994368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81127 (or 81112 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 1903641994368 in words is "one trillion, nine hundred three billion, six hundred forty-one million, nine hundred ninety-four thousand, three hundred sixty-eight".