245315005431144 has 256 divisors, whose sum is σ = 674380007424000. Its totient is φ = 73746997632000.

The previous prime is 245315005431131. The next prime is 245315005431169. The reversal of 245315005431144 is 441134500513542.

It is a junction number, because it is equal to n+sod(n) for n = 245315005431096 and 245315005431105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51224680302 + ... + 51224685090.

It is an arithmetic number, because the mean of its divisors is an integer number (2634296904000).

Almost surely, 2^{245315005431144} is an apocalyptic number.

245315005431144 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 245315005431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337190003712000).

245315005431144 is an abundant number, since it is smaller than the sum of its proper divisors (429065001992856).

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

245315005431144 is a wasteful number, since it uses less digits than its factorization.

245315005431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7560 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 245315005431144 its reverse (441134500513542), we get a palindrome (686449505944686).

The spelling of 245315005431144 in words is "two hundred forty-five trillion, three hundred fifteen billion, five million, four hundred thirty-one thousand, one hundred forty-four".