1641085385688 has 96 divisors (see below), whose sum is σ = 5243406504960. Its totient is φ = 453756323520.

The previous prime is 1641085385669. The next prime is 1641085385689. The reversal of 1641085385688 is 8865835801461.

1641085385688 is a `hidden beast` number, since 1 + 6 + 4 + 10 + 8 + 53 + 8 + 568 + 8 = 666.

It is a super-3 number, since 3×1641085385688³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641085385689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52502470 + ... + 52533717.

It is an arithmetic number, because the mean of its divisors is an integer number (54618817760).

Almost surely, 2^{1641085385688} is an apocalyptic number.

1641085385688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1641085385688 is an abundant number, since it is smaller than the sum of its proper divisors (3602321119272).

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

1641085385688 is a wasteful number, since it uses less digits than its factorization.

1641085385688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105036237 (or 105036230 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 1641085385688 in words is "one trillion, six hundred forty-one billion, eighty-five million, three hundred eighty-five thousand, six hundred eighty-eight".