1685160013824 has 624 divisors, whose sum is σ = 5826749760000. Its totient is φ = 458809933824.

The previous prime is 1685160013819. The next prime is 1685160013891. The reversal of 1685160013824 is 4283100615861.

1685160013824 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 1 + 600 + 1 + 38 + 2 + 4 = 666.

It is a super-2 number, since 2×1685160013824² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1685160013824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2961616612 + ... + 2961617180.

It is an arithmetic number, because the mean of its divisors is an integer number (9337740000).

Almost surely, 2^{1685160013824} is an apocalyptic number.

1685160013824 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 1685160013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913374880000).

1685160013824 is an abundant number, since it is smaller than the sum of its proper divisors (4141589746176).

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

1685160013824 is a wasteful number, since it uses less digits than its factorization.

1685160013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1685160013824 in words is "one trillion, six hundred eighty-five billion, one hundred sixty million, thirteen thousand, eight hundred twenty-four".