142584748992 has 336 divisors, whose sum is σ = 510514348032. Its totient is φ = 37104721920.

The previous prime is 142584748991. The next prime is 142584748997. The reversal of 142584748992 is 299847485241.

142584748992 is a `hidden beast` number, since 1 + 4 + 2 + 584 + 7 + 48 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×142584748992² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142584748991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2091313 + ... + 2158415.

Almost surely, 2^142584748992 is an apocalyptic number.

142584748992 is a gapful number since it is divisible by the number (12) 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 142584748992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255257174016).

142584748992 is an abundant number, since it is smaller than the sum of its proper divisors (367929599040).

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

142584748992 is a wasteful number, since it uses less digits than its factorization.

142584748992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67176 (or 67163 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 142584748992 in words is "one hundred forty-two billion, five hundred eighty-four million, seven hundred forty-eight thousand, nine hundred ninety-two".