142553657798208 has 336 divisors, whose sum is σ = 427912577426880. Its totient is φ = 45313251766272.

The previous prime is 142553657798191. The next prime is 142553657798257. The reversal of 142553657798208 is 802897756355241.

142553657798208 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 536 + 5 + 7 + 7 + 9 + 82 + 0 + 8 = 666.

It is a super-2 number, since 2×142553657798208² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 5416776666 + ... + 5416802982.

It is an arithmetic number, because the mean of its divisors is an integer number (1273549337580).

It is a 2-persistent number, because it is pandigital, and so is 2⋅142553657798208 = 285107315596416, but 3⋅142553657798208 = 427660973394624 is not.

Almost surely, 2^{142553657798208} is an apocalyptic number.

142553657798208 is a gapful number since it is divisible by the number (18) 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 142553657798208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213956288713440).

142553657798208 is an abundant number, since it is smaller than the sum of its proper divisors (285358919628672).

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

142553657798208 is a wasteful number, since it uses less digits than its factorization.

142553657798208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30354 (or 30341 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 142553657798208 in words is "one hundred forty-two trillion, five hundred fifty-three billion, six hundred fifty-seven million, seven hundred ninety-eight thousand, two hundred eight".