1608333097644 has 144 divisors (see below), whose sum is σ = 5025555545920. Its totient is φ = 422323269120.

The previous prime is 1608333097643. The next prime is 1608333097703. The reversal of 1608333097644 is 4467903338061.

It is a happy number.

1608333097644 is a `hidden beast` number, since 160 + 8 + 3 + 330 + 97 + 64 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1608333097643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321727 + ... + 1822134.

Almost surely, 2^{1608333097644} is an apocalyptic number.

1608333097644 is a gapful number since it is divisible by the number (14) 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 1608333097644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512777772960).

1608333097644 is an abundant number, since it is smaller than the sum of its proper divisors (3417222448276).

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

1608333097644 is a wasteful number, since it uses less digits than its factorization.

1608333097644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144120 (or 2144115 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 1608333097644 in words is "one trillion, six hundred eight billion, three hundred thirty-three million, ninety-seven thousand, six hundred forty-four".