142069745664 has 768 divisors, whose sum is σ = 534265804800. Its totient is φ = 36229939200.

The previous prime is 142069745621. The next prime is 142069745681. The reversal of 142069745664 is 466547960241.

142069745664 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 6 + 9 + 74 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 142069745664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259725039 + ... + 259725585.

It is an arithmetic number, because the mean of its divisors is an integer number (695658600).

Almost surely, 2^142069745664 is an apocalyptic number.

142069745664 is a gapful number since it is divisible by the number (14) 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 142069745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267132902400).

142069745664 is an abundant number, since it is smaller than the sum of its proper divisors (392196059136).

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

142069745664 is a wasteful number, since it uses less digits than its factorization.

142069745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 142069745664 in words is "one hundred forty-two billion, sixty-nine million, seven hundred forty-five thousand, six hundred sixty-four".