2243146765968 has 120 divisors (see below), whose sum is σ = 6337560890232. Its totient is φ = 740594233344.

The previous prime is 2243146765961. The next prime is 2243146765973. The reversal of 2243146765968 is 8695676413422.

2243146765968 is a `hidden beast` number, since 2 + 2 + 4 + 31 + 4 + 6 + 7 + 6 + 596 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7380184464 + 2235766581504 = 85908^2 + 1495248^2 .

It is a super-3 number, since 3×2243146765968³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2243146765961) 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 23 ways as a sum of consecutive naturals, for example, 24247930 + ... + 24340262.

Almost surely, 2^{2243146765968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243146765968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168780445116).

2243146765968 is an abundant number, since it is smaller than the sum of its proper divisors (4094414124264).

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

2243146765968 is a wasteful number, since it uses less digits than its factorization.

2243146765968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93953 (or 93944 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 2243146765968 in words is "two trillion, two hundred forty-three billion, one hundred forty-six million, seven hundred sixty-five thousand, nine hundred sixty-eight".