1685949567552 has 336 divisors, whose sum is σ = 5079994920000. Its totient is φ = 554328023040.

The previous prime is 1685949567529. The next prime is 1685949567557. The reversal of 1685949567552 is 2557659495861.

1685949567552 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 9 + 4 + 9 + 5 + 67 + 552 = 666.

It is a super-2 number, since 2×1685949567552² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1685949567557) 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, 690678652 + ... + 690681092.

It is an arithmetic number, because the mean of its divisors is an integer number (15119032500).

Almost surely, 2^{1685949567552} is an apocalyptic number.

1685949567552 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 1685949567552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539997460000).

1685949567552 is an abundant number, since it is smaller than the sum of its proper divisors (3394045352448).

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

1685949567552 is an equidigital number, since it uses as much as digits as its factorization.

1685949567552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3034 counting only the distinct ones).

The product of its digits is 816480000, while the sum is 72.

The spelling of 1685949567552 in words is "one trillion, six hundred eighty-five billion, nine hundred forty-nine million, five hundred sixty-seven thousand, five hundred fifty-two".