142820945568 has 864 divisors, whose sum is σ = 519432600960. Its totient is φ = 36404121600.

The previous prime is 142820945551. The next prime is 142820945569. The reversal of 142820945568 is 865549028241.

142820945568 is a `hidden beast` number, since 1 + 4 + 2 + 82 + 0 + 9 + 4 + 556 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142820945569) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1414068718 + ... + 1414068818.

It is an arithmetic number, because the mean of its divisors is an integer number (601195140).

Almost surely, 2^142820945568 is an apocalyptic number.

142820945568 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 142820945568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259716300480).

142820945568 is an abundant number, since it is smaller than the sum of its proper divisors (376611655392).

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

142820945568 is a wasteful number, since it uses less digits than its factorization.

142820945568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 142820945568 in words is "one hundred forty-two billion, eight hundred twenty million, nine hundred forty-five thousand, five hundred sixty-eight".