245983350720 has 448 divisors, whose sum is σ = 827331563520. Its totient is φ = 61845504000.

The previous prime is 245983350709. The next prime is 245983350803. The reversal of 245983350720 is 27053389542.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 245983350720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170939761 + ... + 170941199.

It is an arithmetic number, because the mean of its divisors is an integer number (1846722240).

Almost surely, 2^245983350720 is an apocalyptic number.

245983350720 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 245983350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413665781760).

245983350720 is an abundant number, since it is smaller than the sum of its proper divisors (581348212800).

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

245983350720 is a wasteful number, since it uses less digits than its factorization.

245983350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 245983350720 in words is "two hundred forty-five billion, nine hundred eighty-three million, three hundred fifty thousand, seven hundred twenty".