1985169816 has 256 divisors, whose sum is σ = 6670540800. Its totient is φ = 534988800.

The previous prime is 1985169773. The next prime is 1985169817. The reversal of 1985169816 is 6189615891.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985169817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1921236 + ... + 1922268.

It is an arithmetic number, because the mean of its divisors is an integer number (26056800).

Almost surely, 2^1985169816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985169816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335270400).

1985169816 is an abundant number, since it is smaller than the sum of its proper divisors (4685370984).

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

1985169816 is a wasteful number, since it uses less digits than its factorization.

1985169816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1117 counting only the distinct ones).

The product of its digits is 933120, while the sum is 54.

The square root of 1985169816 is about 44555.2445397845. The cubic root of 1985169816 is about 1256.7991773092.

The spelling of 1985169816 in words is "one billion, nine hundred eighty-five million, one hundred sixty-nine thousand, eight hundred sixteen".