245472296960 has 288 divisors, whose sum is σ = 680833605312. Its totient is φ = 83969966080.

The previous prime is 245472296959. The next prime is 245472296987. The reversal of 245472296960 is 69692274542.

It is a junction number, because it is equal to n+sod(n) for n = 245472296896 and 245472296905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122551319 + ... + 122553321.

It is an arithmetic number, because the mean of its divisors is an integer number (2364005574).

Almost surely, 2^245472296960 is an apocalyptic number.

245472296960 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 245472296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340416802656).

245472296960 is an abundant number, since it is smaller than the sum of its proper divisors (435361308352).

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

245472296960 is an equidigital number, since it uses as much as digits as its factorization.

245472296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 56.

The spelling of 245472296960 in words is "two hundred forty-five billion, four hundred seventy-two million, two hundred ninety-six thousand, nine hundred sixty".