1609993018368 has 264 divisors, whose sum is σ = 5315728204800. Its totient is φ = 459756380160.

The previous prime is 1609993018363. The next prime is 1609993018397. The reversal of 1609993018368 is 8638103999061.

1609993018368 is a `hidden beast` number, since 1 + 609 + 9 + 9 + 3 + 0 + 18 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609993018363) 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, 149081833 + ... + 149092631.

Almost surely, 2^{1609993018368} is an apocalyptic number.

1609993018368 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 1609993018368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657864102400).

1609993018368 is an abundant number, since it is smaller than the sum of its proper divisors (3705735186432).

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

1609993018368 is a wasteful number, since it uses less digits than its factorization.

1609993018368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13143 (or 13122 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 1609993018368 in words is "one trillion, six hundred nine billion, nine hundred ninety-three million, eighteen thousand, three hundred sixty-eight".