2231610812064 has 72 divisors (see below), whose sum is σ = 6346324356372. Its totient is φ = 743849041920.

The previous prime is 2231610811967. The next prime is 2231610812069. The reversal of 2231610812064 is 4602180161322.

It is a happy number.

2231610812064 is a `hidden beast` number, since 2 + 2 + 31 + 610 + 8 + 1 + 2 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2178753123600 + 52857688464 = 1476060^2 + 229908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×2231610812064³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2231610812069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12485632 + ... + 12663104.

Almost surely, 2^{2231610812064} is an apocalyptic number.

2231610812064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2231610812064 is an abundant number, since it is smaller than the sum of its proper divisors (4114713544308).

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

2231610812064 is a wasteful number, since it uses less digits than its factorization.

2231610812064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221150 (or 221139 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 2231610812064 its reverse (4602180161322), we get a palindrome (6833790973386).

The spelling of 2231610812064 in words is "two trillion, two hundred thirty-one billion, six hundred ten million, eight hundred twelve thousand, sixty-four".