142306495968 has 576 divisors, whose sum is σ = 483939090432. Its totient is φ = 35809413120.

The previous prime is 142306495957. The next prime is 142306495973. The reversal of 142306495968 is 869594603241.

It is a super-2 number, since 2×142306495968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 292210221 + ... + 292210707.

It is an arithmetic number, because the mean of its divisors is an integer number (840172032).

Almost surely, 2^142306495968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142306495968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241969545216).

142306495968 is an abundant number, since it is smaller than the sum of its proper divisors (341632594464).

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

142306495968 is a wasteful number, since it uses less digits than its factorization.

142306495968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 142306495968 in words is "one hundred forty-two billion, three hundred six million, four hundred ninety-five thousand, nine hundred sixty-eight".