245207305728 has 800 divisors, whose sum is σ = 942287689728. Its totient is φ = 61610803200.

The previous prime is 245207305709. The next prime is 245207305757. The reversal of 245207305728 is 827503702542.

245207305728 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 0 + 73 + 0 + 572 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98992426 + ... + 98994902.

Almost surely, 2^245207305728 is an apocalyptic number.

245207305728 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 245207305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471143844864).

245207305728 is an abundant number, since it is smaller than the sum of its proper divisors (697080384000).

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

245207305728 is a wasteful number, since it uses less digits than its factorization.

245207305728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 245207305728 in words is "two hundred forty-five billion, two hundred seven million, three hundred five thousand, seven hundred twenty-eight".