142314485967360 has 2400 divisors, whose sum is σ = 618384852264960. Its totient is φ = 31151839444992.

The previous prime is 142314485967307. The next prime is 142314485967371. The reversal of 142314485967360 is 63769584413241.

142314485967360 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 1 + 4 + 4 + 8 + 596 + 7 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 37421635219 + ... + 37421639021.

It is a 1-persistent number, because it is pandigital, but 2⋅142314485967360 = 284628971934720 is not.

Almost surely, 2^{142314485967360} is an apocalyptic number.

142314485967360 is a gapful number since it is divisible by the number (10) 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 142314485967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309192426132480).

142314485967360 is an abundant number, since it is smaller than the sum of its proper divisors (476070366297600).

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

142314485967360 is a wasteful number, since it uses less digits than its factorization.

142314485967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 142314485967360 in words is "one hundred forty-two trillion, three hundred fourteen billion, four hundred eighty-five million, nine hundred sixty-seven thousand, three hundred sixty".