142769442816 has 1248 divisors, whose sum is σ = 571880155392. Its totient is φ = 33124515840.

The previous prime is 142769442799. The next prime is 142769442821. The reversal of 142769442816 is 618244967241.

142769442816 is a `hidden beast` number, since 1 + 4 + 276 + 94 + 4 + 281 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×142769442816² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4644864) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1955745756 + ... + 1955745828.

It is an arithmetic number, because the mean of its divisors is an integer number (458237304).

Almost surely, 2^142769442816 is an apocalyptic number.

142769442816 is a gapful number since it is divisible by the number (16) 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 142769442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285940077696).

142769442816 is an abundant number, since it is smaller than the sum of its proper divisors (429110712576).

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

142769442816 is a wasteful number, since it uses less digits than its factorization.

142769442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

It can be divided in two parts, 142769 and 442816, that added together give a palindrome (585585).

The spelling of 142769442816 in words is "one hundred forty-two billion, seven hundred sixty-nine million, four hundred forty-two thousand, eight hundred sixteen".