1865849161968 has 360 divisors, whose sum is σ = 6182288752640. Its totient is φ = 523189497600.

The previous prime is 1865849161963. The next prime is 1865849161993. The reversal of 1865849161968 is 8691619485681.

1865849161968 is a `hidden beast` number, since 1 + 8 + 65 + 8 + 491 + 6 + 19 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1865849161896 and 1865849161905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1865849161963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14169873 + ... + 14300943.

Almost surely, 2^{1865849161968} is an apocalyptic number.

1865849161968 is a gapful number since it is divisible by the number (18) 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 1865849161968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091144376320).

1865849161968 is an abundant number, since it is smaller than the sum of its proper divisors (4316439590672).

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

1865849161968 is a wasteful number, since it uses less digits than its factorization.

1865849161968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131169 (or 131149 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 72.

The spelling of 1865849161968 in words is "one trillion, eight hundred sixty-five billion, eight hundred forty-nine million, one hundred sixty-one thousand, nine hundred sixty-eight".