2212511146664 has 128 divisors (see below), whose sum is σ = 5410684742400. Its totient is φ = 824484648960.

The previous prime is 2212511146639. The next prime is 2212511146673. The reversal of 2212511146664 is 4666411152122.

It is a super-3 number, since 3×2212511146664³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412442 + ... + 2143625.

It is an arithmetic number, because the mean of its divisors is an integer number (42270974550).

Almost surely, 2^{2212511146664} is an apocalyptic number.

It is an amenable number.

2212511146664 is an abundant number, since it is smaller than the sum of its proper divisors (3198173595736).

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

2212511146664 is a wasteful number, since it uses less digits than its factorization.

2212511146664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556163 (or 2556159 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

Adding to 2212511146664 its reverse (4666411152122), we get a palindrome (6878922298786).

The spelling of 2212511146664 in words is "two trillion, two hundred twelve billion, five hundred eleven million, one hundred forty-six thousand, six hundred sixty-four".