2116201812864 has 128 divisors (see below), whose sum is σ = 5761483284480. Its totient is φ = 687846297600.

The previous prime is 2116201812853. The next prime is 2116201812869. The reversal of 2116201812864 is 4682181026112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2116201812864² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116201812869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9817089 + ... + 10030335.

It is an arithmetic number, because the mean of its divisors is an integer number (45011588160).

Almost surely, 2^{2116201812864} is an apocalyptic number.

2116201812864 is a gapful number since it is divisible by the number (24) 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 2116201812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880741642240).

2116201812864 is an abundant number, since it is smaller than the sum of its proper divisors (3645281471616).

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

2116201812864 is a wasteful number, since it uses less digits than its factorization.

2116201812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213908 (or 213896 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

Adding to 2116201812864 its reverse (4682181026112), we get a palindrome (6798382838976).

The spelling of 2116201812864 in words is "two trillion, one hundred sixteen billion, two hundred one million, eight hundred twelve thousand, eight hundred sixty-four".