1608457613520 has 80 divisors (see below), whose sum is σ = 4990087846080. Its totient is φ = 428589192192.

The previous prime is 1608457613513. The next prime is 1608457613557. The reversal of 1608457613520 is 253167548061.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1608457613520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2290294 + ... + 2909013.

It is an arithmetic number, because the mean of its divisors is an integer number (62376098076).

Almost surely, 2^{1608457613520} is an apocalyptic number.

1608457613520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1608457613520 is an abundant number, since it is smaller than the sum of its proper divisors (3381630232560).

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

1608457613520 is a wasteful number, since it uses less digits than its factorization.

1608457613520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200612 (or 5200606 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 1608457613520 in words is "one trillion, six hundred eight billion, four hundred fifty-seven million, six hundred thirteen thousand, five hundred twenty".