245342316960 has 768 divisors, whose sum is σ = 950578675200. Its totient is φ = 58727006208.

The previous prime is 245342316913. The next prime is 245342316979. The reversal of 245342316960 is 69613243542.

245342316960 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 423 + 169 + 60 = 666.

It is a super-2 number, since 2×245342316960² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 413730424 + ... + 413731016.

It is an arithmetic number, because the mean of its divisors is an integer number (1237732650).

Almost surely, 2^245342316960 is an apocalyptic number.

245342316960 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 245342316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475289337600).

245342316960 is an abundant number, since it is smaller than the sum of its proper divisors (705236358240).

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

245342316960 is a wasteful number, since it uses less digits than its factorization.

245342316960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 245342316960 in words is "two hundred forty-five billion, three hundred forty-two million, three hundred sixteen thousand, nine hundred sixty".