245316412256400 has 135 divisors (see below), whose sum is σ = 851319355200249. Its totient is φ = 65417459333760.

The previous prime is 245316412256369. The next prime is 245316412256413. The reversal of 245316412256400 is 4652214613542.

It is a happy number.

The square root of 245316412256400 is 15662580.

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

245316412256400 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 1 + 64 + 1 + 22 + 564 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88313908412304 + 157002503844096 = 9397548^2 + 12530064^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 939624279 + ... + 939885321.

Almost surely, 2^{245316412256400} is an apocalyptic number.

245316412256400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

245316412256400 is the 15662580-th square number.

It is an amenable number.

245316412256400 is an abundant number, since it is smaller than the sum of its proper divisors (606002942943849).

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

245316412256400 is an frugal number, since it uses more digits than its factorization.

245316412256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522110 (or 261053 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 245316412256400 its reverse (4652214613542), we get a palindrome (249968626869942).

The spelling of 245316412256400 in words is "two hundred forty-five trillion, three hundred sixteen billion, four hundred twelve million, two hundred fifty-six thousand, four hundred".