142993381344256 has 99 divisors (see below), whose sum is σ = 289873101512421. Its totient is φ = 70503508353024.

The previous prime is 142993381344251. The next prime is 142993381344293. The reversal of 142993381344256 is 652443183399241.

The square root of 142993381344256 is 11957984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81170009113600 + 61823372230656 = 9009440^2 + 7862784^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142993381344251) 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 8 ways as a sum of consecutive naturals, for example, 27933848065 + ... + 27933853183.

Almost surely, 2^{142993381344256} is an apocalyptic number.

142993381344256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

142993381344256 is the 11957984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142993381344256

142993381344256 is an abundant number, since it is smaller than the sum of its proper divisors (146879720168165).

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

142993381344256 is an frugal number, since it uses more digits than its factorization.

142993381344256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10404 (or 5194 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 64.

142993381344256 divided by its sum of digits (64) gives a square (2234271583504 = 1494748²).

The spelling of 142993381344256 in words is "one hundred forty-two trillion, nine hundred ninety-three billion, three hundred eighty-one million, three hundred forty-four thousand, two hundred fifty-six".