142117508058624 has 480 divisors, whose sum is σ = 472336765655040. Its totient is φ = 40295622721536.

The previous prime is 142117508058619. The next prime is 142117508058649. The reversal of 142117508058624 is 426850805711241.

142117508058624 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 1 + 7 + 5 + 0 + 8 + 0 + 5 + 8 + 624 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3052394257 + ... + 3052440815.

It is an arithmetic number, because the mean of its divisors is an integer number (984034928448).

Almost surely, 2^{142117508058624} is an apocalyptic number.

142117508058624 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 142117508058624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236168382827520).

142117508058624 is an abundant number, since it is smaller than the sum of its proper divisors (330219257596416).

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

142117508058624 is a wasteful number, since it uses less digits than its factorization.

142117508058624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47310 (or 47291 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 142117508058624 in words is "one hundred forty-two trillion, one hundred seventeen billion, five hundred eight million, fifty-eight thousand, six hundred twenty-four".