2199829964544 has 216 divisors, whose sum is σ = 6685405617072. Its totient is φ = 721254481920.

The previous prime is 2199829964543. The next prime is 2199829964573. The reversal of 2199829964544 is 4454699289912.

2199829964544 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 82 + 9 + 96 + 454 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×2199829964544³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199829964543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3504832 + ... + 4084544.

Almost surely, 2^{2199829964544} is an apocalyptic number.

2199829964544 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 2199829964544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342702808536).

2199829964544 is an abundant number, since it is smaller than the sum of its proper divisors (4485575652528).

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

2199829964544 is an frugal number, since it uses more digits than its factorization.

2199829964544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579805 (or 579779 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 2199829964544 in words is "two trillion, one hundred ninety-nine billion, eight hundred twenty-nine million, nine hundred sixty-four thousand, five hundred forty-four".