245913744960 has 784 divisors, whose sum is σ = 954264548160. Its totient is φ = 59973488640.

The previous prime is 245913744941. The next prime is 245913744971. The reversal of 245913744960 is 69447319542.

245913744960 is a `hidden beast` number, since 2 + 4 + 5 + 9 + 137 + 449 + 60 = 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 = 245913744897 and 245913744906.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 397275531 + ... + 397276149.

Almost surely, 2^245913744960 is an apocalyptic number.

245913744960 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 245913744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477132274080).

245913744960 is an abundant number, since it is smaller than the sum of its proper divisors (708350803200).

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

245913744960 is a wasteful number, since it uses less digits than its factorization.

245913744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 245913744960 in words is "two hundred forty-five billion, nine hundred thirteen million, seven hundred forty-four thousand, nine hundred sixty".