245663415360 has 672 divisors, whose sum is σ = 978620872320. Its totient is φ = 56403578880.

The previous prime is 245663415307. The next prime is 245663415367. The reversal of 245663415360 is 63514366542.

245663415360 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 634 + 1 + 5 + 3 + 6 + 0 = 666.

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 (245663415367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72830634 + ... + 72834006.

It is an arithmetic number, because the mean of its divisors is an integer number (1456281060).

Almost surely, 2^245663415360 is an apocalyptic number.

245663415360 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 245663415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489310436160).

245663415360 is an abundant number, since it is smaller than the sum of its proper divisors (732957456960).

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

245663415360 is a wasteful number, since it uses less digits than its factorization.

245663415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 245663415360 in words is "two hundred forty-five billion, six hundred sixty-three million, four hundred fifteen thousand, three hundred sixty".