245575048320 has 800 divisors, whose sum is σ = 1023615982620. Its totient is φ = 56102989824.

The previous prime is 245575048289. The next prime is 245575048321. The reversal of 245575048320 is 23840575542.

245575048320 is a `hidden beast` number, since 2 + 4 + 5 + 575 + 0 + 48 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 233613688896 + 11961359424 = 483336^2 + 109368^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (245575048321) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 124466854 + ... + 124468826.

Almost surely, 2^245575048320 is an apocalyptic number.

245575048320 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 245575048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511807991310).

245575048320 is an abundant number, since it is smaller than the sum of its proper divisors (778040934300).

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

245575048320 is an frugal number, since it uses more digits than its factorization.

245575048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 245575048320 in words is "two hundred forty-five billion, five hundred seventy-five million, forty-eight thousand, three hundred twenty".