245009522688 has 224 divisors, whose sum is σ = 790580145024. Its totient is φ = 65884127232.

The previous prime is 245009522633. The next prime is 245009522701. The reversal of 245009522688 is 886225900542.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 245009522688.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2882656 + ... + 2966432.

Almost surely, 2^245009522688 is an apocalyptic number.

245009522688 is a gapful number since it is divisible by the number (28) 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 245009522688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395290072512).

245009522688 is an abundant number, since it is smaller than the sum of its proper divisors (545570622336).

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

245009522688 is an equidigital number, since it uses as much as digits as its factorization.

245009522688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83830 (or 83806 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 245009522688 in words is "two hundred forty-five billion, nine million, five hundred twenty-two thousand, six hundred eighty-eight".