1144861629632 has 112 divisors (see below), whose sum is σ = 2606777859840. Its totient is φ = 488693025792.

The previous prime is 1144861629629. The next prime is 1144861629673. The reversal of 1144861629632 is 2369261684411.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271356419 + ... + 271360637.

It is an arithmetic number, because the mean of its divisors is an integer number (23274802320).

Almost surely, 2^{1144861629632} 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 1144861629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303388929920).

1144861629632 is an abundant number, since it is smaller than the sum of its proper divisors (1461916230208).

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

1144861629632 is a wasteful number, since it uses less digits than its factorization.

1144861629632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 6508 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 53.

The spelling of 1144861629632 in words is "one trillion, one hundred forty-four billion, eight hundred sixty-one million, six hundred twenty-nine thousand, six hundred thirty-two".