2165046846648 has 128 divisors (see below), whose sum is σ = 6274530501120. Its totient is φ = 609767424000.

The previous prime is 2165046846623. The next prime is 2165046846649. The reversal of 2165046846648 is 8466486405612.

It is a super-3 number, since 3×2165046846648³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2165046846591 and 2165046846600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165046846649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3825640 + ... + 4354952.

It is an arithmetic number, because the mean of its divisors is an integer number (49019769540).

Almost surely, 2^{2165046846648} is an apocalyptic number.

2165046846648 is a gapful number since it is divisible by the number (28) 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 2165046846648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137265250560).

2165046846648 is an abundant number, since it is smaller than the sum of its proper divisors (4109483654472).

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

2165046846648 is a wasteful number, since it uses less digits than its factorization.

2165046846648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529677 (or 529673 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 60.

The spelling of 2165046846648 in words is "two trillion, one hundred sixty-five billion, forty-six million, eight hundred forty-six thousand, six hundred forty-eight".