245365808480 has 576 divisors, whose sum is σ = 693719728128. Its totient is φ = 81412853760.

The previous prime is 245365808477. The next prime is 245365808489. The reversal of 245365808480 is 84808563542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245365808489) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1932014177 + ... + 1932014303.

It is an arithmetic number, because the mean of its divisors is an integer number (1204374528).

Almost surely, 2^245365808480 is an apocalyptic number.

245365808480 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 245365808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346859864064).

245365808480 is an abundant number, since it is smaller than the sum of its proper divisors (448353919648).

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

245365808480 is a wasteful number, since it uses less digits than its factorization.

245365808480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 53.

The spelling of 245365808480 in words is "two hundred forty-five billion, three hundred sixty-five million, eight hundred eight thousand, four hundred eighty".