142422036768 has 576 divisors, whose sum is σ = 479669299200. Its totient is φ = 39626496000.

The previous prime is 142422036761. The next prime is 142422036797. The reversal of 142422036768 is 867630224241.

It is a happy number.

142422036768 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 220 + 367 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (142422036761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290065003 + ... + 290065493.

It is an arithmetic number, because the mean of its divisors is an integer number (832759200).

Almost surely, 2^142422036768 is an apocalyptic number.

142422036768 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 142422036768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239834649600).

142422036768 is an abundant number, since it is smaller than the sum of its proper divisors (337247262432).

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

142422036768 is a wasteful number, since it uses less digits than its factorization.

142422036768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 142422036768 in words is "one hundred forty-two billion, four hundred twenty-two million, thirty-six thousand, seven hundred sixty-eight".