245563638720 has 224 divisors, whose sum is σ = 807318273600. Its totient is φ = 63165333504.

The previous prime is 245563638709. The next prime is 245563638769. The reversal of 245563638720 is 27836365542.

245563638720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×245563638720² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34211772 + ... + 34218948.

Almost surely, 2^245563638720 is an apocalyptic number.

245563638720 is a gapful number since it is divisible by the number (20) 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 245563638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403659136800).

245563638720 is an abundant number, since it is smaller than the sum of its proper divisors (561754634880).

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

245563638720 is a wasteful number, since it uses less digits than its factorization.

245563638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455 (or 8445 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 245563638720 in words is "two hundred forty-five billion, five hundred sixty-three million, six hundred thirty-eight thousand, seven hundred twenty".