2563142310144 has 360 divisors, whose sum is σ = 8243906949432. Its totient is φ = 787397345280.

The previous prime is 2563142310137. The next prime is 2563142310149. The reversal of 2563142310144 is 4410132413652.

2563142310144 is a `hidden beast` number, since 2 + 5 + 63 + 142 + 310 + 144 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199272960000 + 2363869350144 = 446400^2 + 1537488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2563142310099 and 2563142310108.

It is not an unprimeable number, because it can be changed into a prime (2563142310149) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 176020624 + ... + 176035184.

Almost surely, 2^{2563142310144} is an apocalyptic number.

2563142310144 is a gapful number since it is divisible by the number (24) 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 2563142310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121953474716).

2563142310144 is an abundant number, since it is smaller than the sum of its proper divisors (5680764639288).

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

2563142310144 is a wasteful number, since it uses less digits than its factorization.

2563142310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15255 (or 15232 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 2563142310144 its reverse (4410132413652), we get a palindrome (6973274723796).

The spelling of 2563142310144 in words is "two trillion, five hundred sixty-three billion, one hundred forty-two million, three hundred ten thousand, one hundred forty-four".