2231142653264 has 240 divisors, whose sum is σ = 5215522435200. Its totient is φ = 921318064128.

The previous prime is 2231142653239. The next prime is 2231142653329. The reversal of 2231142653264 is 4623562411322.

2231142653264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231142653264³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2307282509 + ... + 2307283475.

It is an arithmetic number, because the mean of its divisors is an integer number (21731343480).

Almost surely, 2^{2231142653264} 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 2231142653264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607761217600).

2231142653264 is an abundant number, since it is smaller than the sum of its proper divisors (2984379781936).

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

2231142653264 is a wasteful number, since it uses less digits than its factorization.

2231142653264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1877 counting only the distinct ones).

The product of its digits is 414720, while the sum is 41.

The spelling of 2231142653264 in words is "two trillion, two hundred thirty-one billion, one hundred forty-two million, six hundred fifty-three thousand, two hundred sixty-four".