255146214400 has 891 divisors, whose sum is σ = 828879331791. Its totient is φ = 77586432000.

The previous prime is 255146214397. The next prime is 255146214403. The reversal of 255146214400 is 4412641552.

The square root of 255146214400 is 505120.

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

It is an interprime number because it is at equal distance from previous prime (255146214397) and next prime (255146214403).

It can be written as a sum of positive squares in 4 ways, for example, as 107395154944 + 147751059456 = 327712^2 + 384384^2 .

It is not an unprimeable number, because it can be changed into a prime (255146214403) 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 80 ways as a sum of consecutive naturals, for example, 6223078380 + ... + 6223078420.

Almost surely, 2^255146214400 is an apocalyptic number.

255146214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

255146214400 is the 505120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255146214400

255146214400 is an abundant number, since it is smaller than the sum of its proper divisors (573733117391).

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

255146214400 is a wasteful number, since it uses less digits than its factorization.

255146214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 255146214400 its reverse (4412641552), we get a palindrome (259558855952).

The spelling of 255146214400 in words is "two hundred fifty-five billion, one hundred forty-six million, two hundred fourteen thousand, four hundred".