1685734057224 has 128 divisors (see below), whose sum is σ = 5355954336000. Its totient is φ = 481240714752.

The previous prime is 1685734057219. The next prime is 1685734057253. The reversal of 1685734057224 is 4227504375861.

1685734057224 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 7 + 3 + 40 + 572 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1374492 + ... + 2293620.

It is an arithmetic number, because the mean of its divisors is an integer number (41843393250).

Almost surely, 2^{1685734057224} is an apocalyptic number.

1685734057224 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 1685734057224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677977168000).

1685734057224 is an abundant number, since it is smaller than the sum of its proper divisors (3670220278776).

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

1685734057224 is a wasteful number, since it uses less digits than its factorization.

1685734057224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920364 (or 920354 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 1685734057224 in words is "one trillion, six hundred eighty-five billion, seven hundred thirty-four million, fifty-seven thousand, two hundred twenty-four".