245229845760 has 216 divisors, whose sum is σ = 879895642080. Its totient is φ = 65394542592.

The previous prime is 245229845747. The next prime is 245229845779. The reversal of 245229845760 is 67548922542.

245229845760 is a `hidden beast` number, since 2 + 4 + 522 + 9 + 8 + 4 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 245229845697 and 245229845706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83170 + ... + 705249.

Almost surely, 2^245229845760 is an apocalyptic number.

245229845760 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 245229845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439947821040).

245229845760 is an abundant number, since it is smaller than the sum of its proper divisors (634665796320).

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

245229845760 is an frugal number, since it uses more digits than its factorization.

245229845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788455 (or 788429 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 245229845760 in words is "two hundred forty-five billion, two hundred twenty-nine million, eight hundred forty-five thousand, seven hundred sixty".