142289433152064 has 1568 divisors, whose sum is σ = 497384910028800. Its totient is φ = 39939043921920.

The previous prime is 142289433152039. The next prime is 142289433152081. The reversal of 142289433152064 is 460251334982241.

142289433152064 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 89 + 4 + 3 + 31 + 520 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 142289433152064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 49423212577 + ... + 49423215455.

Almost surely, 2^{142289433152064} 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 142289433152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248692455014400).

142289433152064 is an abundant number, since it is smaller than the sum of its proper divisors (355095476876736).

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

142289433152064 is a wasteful number, since it uses less digits than its factorization.

142289433152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 142289433152064 in words is "one hundred forty-two trillion, two hundred eighty-nine billion, four hundred thirty-three million, one hundred fifty-two thousand, sixty-four".