142718217103008 has 576 divisors, whose sum is σ = 433044923351040. Its totient is φ = 46220344934400.

The previous prime is 142718217102997. The next prime is 142718217103013. The reversal of 142718217103008 is 800301712817241.

It is a happy number.

142718217103008 is a `hidden beast` number, since 1 + 4 + 271 + 8 + 2 + 1 + 71 + 0 + 300 + 8 = 666.

It is a super-2 number, since 2×142718217103008² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17423780193 + ... + 17423788383.

It is an arithmetic number, because the mean of its divisors is an integer number (751814103040).

Almost surely, 2^{142718217103008} is an apocalyptic number.

142718217103008 is a gapful number since it is divisible by the number (18) 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 142718217103008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216522461675520).

142718217103008 is an abundant number, since it is smaller than the sum of its proper divisors (290326706248032).

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

142718217103008 is a wasteful number, since it uses less digits than its factorization.

142718217103008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8723 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 142718217103008 in words is "one hundred forty-two trillion, seven hundred eighteen billion, two hundred seventeen million, one hundred three thousand, eight".