1685295061632 has 1152 divisors, whose sum is σ = 6351427555200. Its totient is φ = 443862042624.

The previous prime is 1685295061603. The next prime is 1685295061739. The reversal of 1685295061632 is 2361605925861.

1685295061632 is a `hidden beast` number, since 1 + 6 + 8 + 529 + 50 + 6 + 1 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1685295061632² (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 2318149653 + ... + 2318150379.

It is an arithmetic number, because the mean of its divisors is an integer number (5513391975).

Almost surely, 2^{1685295061632} is an apocalyptic number.

1685295061632 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 1685295061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175713777600).

1685295061632 is an abundant number, since it is smaller than the sum of its proper divisors (4666132493568).

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

1685295061632 is an frugal number, since it uses more digits than its factorization.

1685295061632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1685295061632 in words is "one trillion, six hundred eighty-five billion, two hundred ninety-five million, sixty-one thousand, six hundred thirty-two".