245663947710720 has 2592 divisors, whose sum is σ = 1114157242598400. Its totient is φ = 49388188631040.

The previous prime is 245663947710697. The next prime is 245663947710761. The reversal of 245663947710720 is 27017749366542.

245663947710720 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 6 + 39 + 477 + 107 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28568892981 + ... + 28568901579.

It is an arithmetic number, because the mean of its divisors is an integer number (429844615200).

Almost surely, 2^{245663947710720} is an apocalyptic number.

245663947710720 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 245663947710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557078621299200).

245663947710720 is an abundant number, since it is smaller than the sum of its proper divisors (868493294887680).

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

245663947710720 is a wasteful number, since it uses less digits than its factorization.

245663947710720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8801 (or 8777 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 245663947710720 in words is "two hundred forty-five trillion, six hundred sixty-three billion, nine hundred forty-seven million, seven hundred ten thousand, seven hundred twenty".