2201812468704 has 120 divisors (see below), whose sum is σ = 6856379405568. Its totient is φ = 690764682240.

The previous prime is 2201812468703. The next prime is 2201812468717. The reversal of 2201812468704 is 4078642181022.

2201812468704 is a `hidden beast` number, since 2 + 2 + 0 + 181 + 2 + 468 + 7 + 0 + 4 = 666.

It is a super-3 number, since 3×2201812468704³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2201812468704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201812468703) 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 19 ways as a sum of consecutive naturals, for example, 24940192 + ... + 25028319.

Almost surely, 2^{2201812468704} is an apocalyptic number.

2201812468704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2201812468704 is an abundant number, since it is smaller than the sum of its proper divisors (4654566936864).

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

2201812468704 is a wasteful number, since it uses less digits than its factorization.

2201812468704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49968550 (or 49968533 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 2201812468704 in words is "two trillion, two hundred one billion, eight hundred twelve million, four hundred sixty-eight thousand, seven hundred four".