245964375360 has 1344 divisors, whose sum is σ = 1023419888640. Its totient is φ = 55126241280.

The previous prime is 245964375331. The next prime is 245964375361. The reversal of 245964375360 is 63573469542.

245964375360 is a `hidden beast` number, since 2 + 4 + 596 + 43 + 7 + 5 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 245964375297 and 245964375306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245964375361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2298732427 + ... + 2298732533.

Almost surely, 2^245964375360 is an apocalyptic number.

245964375360 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 245964375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511709944320).

245964375360 is an abundant number, since it is smaller than the sum of its proper divisors (777455513280).

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

245964375360 is a wasteful number, since it uses less digits than its factorization.

245964375360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 245964375360 in words is "two hundred forty-five billion, nine hundred sixty-four million, three hundred seventy-five thousand, three hundred sixty".