245350431052452 has 288 divisors, whose sum is σ = 742493769937920. Its totient is φ = 67499424195840.

The previous prime is 245350431052393. The next prime is 245350431052453. The reversal of 245350431052452 is 254250134053542.

245350431052452 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 50 + 43 + 105 + 2 + 452 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 245350431052398 and 245350431052407.

It is not an unprimeable number, because it can be changed into a prime (245350431052453) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9992953 + ... + 24301439.

It is an arithmetic number, because the mean of its divisors is an integer number (2578103367840).

Almost surely, 2^{245350431052452} is an apocalyptic number.

245350431052452 is a gapful number since it is divisible by the number (22) 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 245350431052452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371246884968960).

245350431052452 is an abundant number, since it is smaller than the sum of its proper divisors (497143338885468).

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

245350431052452 is a wasteful number, since it uses less digits than its factorization.

245350431052452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14308623 (or 14308618 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 245350431052452 in words is "two hundred forty-five trillion, three hundred fifty billion, four hundred thirty-one million, fifty-two thousand, four hundred fifty-two".