142144982590464 has 1408 divisors, whose sum is σ = 513977293209600. Its totient is φ = 37926026772480.

The previous prime is 142144982590463. The next prime is 142144982590493. The reversal of 142144982590464 is 464095289441241.

142144982590464 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 4 + 4 + 9 + 82 + 5 + 90 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (142144982590463) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 137870981629 + ... + 137870982659.

It is an arithmetic number, because the mean of its divisors is an integer number (365040691200).

Almost surely, 2^{142144982590464} is an apocalyptic number.

142144982590464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142144982590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256988646604800).

142144982590464 is an abundant number, since it is smaller than the sum of its proper divisors (371832310619136).

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

142144982590464 is a wasteful number, since it uses less digits than its factorization.

142144982590464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 142144982590464 in words is "one hundred forty-two trillion, one hundred forty-four billion, nine hundred eighty-two million, five hundred ninety thousand, four hundred sixty-four".