144611882464 has 48 divisors (see below), whose sum is σ = 325635811200. Its totient is φ = 61927173504.

The previous prime is 144611882447. The next prime is 144611882479. The reversal of 144611882464 is 464288116441.

It is a super-2 number, since 2×144611882464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25627 + ... + 538405.

It is an arithmetic number, because the mean of its divisors is an integer number (6784079400).

Almost surely, 2^144611882464 is an apocalyptic number.

144611882464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144611882464 is an abundant number, since it is smaller than the sum of its proper divisors (181023928736).

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

144611882464 is a wasteful number, since it uses less digits than its factorization.

144611882464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514055 (or 514047 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 49.

The spelling of 144611882464 in words is "one hundred forty-four billion, six hundred eleven million, eight hundred eighty-two thousand, four hundred sixty-four".