245081813760 has 1728 divisors, whose sum is σ = 1087300730880. Its totient is φ = 49686773760.

The previous prime is 245081813731. The next prime is 245081813761. The reversal of 245081813760 is 67318180542.

245081813760 is a `hidden beast` number, since 2 + 4 + 508 + 1 + 8 + 137 + 6 + 0 = 666.

245081813760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (245081813761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3102301401 + ... + 3102301479.

It is an arithmetic number, because the mean of its divisors is an integer number (629224960).

Almost surely, 2^245081813760 is an apocalyptic number.

245081813760 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 245081813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543650365440).

245081813760 is an abundant number, since it is smaller than the sum of its proper divisors (842218917120).

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

245081813760 is a wasteful number, since it uses less digits than its factorization.

245081813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

It can be divided in two parts, 245081 and 813760, that added together give a square (1058841 = 1029²).

The spelling of 245081813760 in words is "two hundred forty-five billion, eighty-one million, eight hundred thirteen thousand, seven hundred sixty".