1608453692352 has 280 divisors, whose sum is σ = 5205081472976. Its totient is φ = 488127762432.

The previous prime is 1608453692297. The next prime is 1608453692353. The reversal of 1608453692352 is 2532963548061.

It is a happy number.

1608453692352 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 45 + 369 + 235 + 2 = 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 (1608453692353) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4756143 + ... + 5083089.

Almost surely, 2^{1608453692352} is an apocalyptic number.

1608453692352 is a gapful number since it is divisible by the number (12) 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 1608453692352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602540736488).

1608453692352 is an abundant number, since it is smaller than the sum of its proper divisors (3596627780624).

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

1608453692352 is a wasteful number, since it uses less digits than its factorization.

1608453692352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327057 (or 327038 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 1608453692352 in words is "one trillion, six hundred eight billion, four hundred fifty-three million, six hundred ninety-two thousand, three hundred fifty-two".