144802806553636 has 96 divisors (see below), whose sum is σ = 319075699138560. Its totient is φ = 55855809878400.

The previous prime is 144802806553633. The next prime is 144802806553661. The reversal of 144802806553636 is 636355608208441.

It is a super-3 number, since 3×144802806553636³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (144802806553633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134958850 + ... + 136027558.

It is an arithmetic number, because the mean of its divisors is an integer number (3323705199360).

Almost surely, 2^{144802806553636} 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 144802806553636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159537849569280).

144802806553636 is an abundant number, since it is smaller than the sum of its proper divisors (174272892584924).

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

144802806553636 is a wasteful number, since it uses less digits than its factorization.

144802806553636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073105 (or 1073103 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 61.

The spelling of 144802806553636 in words is "one hundred forty-four trillion, eight hundred two billion, eight hundred six million, five hundred fifty-three thousand, six hundred thirty-six".