245664671560 has 256 divisors, whose sum is σ = 704701347840. Its totient is φ = 74860830720.

The previous prime is 245664671531. The next prime is 245664671569. The reversal of 245664671560 is 65176466542.

It is a happy number.

It is a super-2 number, since 2×245664671560² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245664671498 and 245664671507.

It is not an unprimeable number, because it can be changed into a prime (245664671569) 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 63 ways as a sum of consecutive naturals, for example, 24792127 + ... + 24802033.

It is an arithmetic number, because the mean of its divisors is an integer number (2752739640).

Almost surely, 2^245664671560 is an apocalyptic number.

245664671560 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 245664671560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352350673920).

245664671560 is an abundant number, since it is smaller than the sum of its proper divisors (459036676280).

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

245664671560 is a wasteful number, since it uses less digits than its factorization.

245664671560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116 (or 10112 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 245664671560 in words is "two hundred forty-five billion, six hundred sixty-four million, six hundred seventy-one thousand, five hundred sixty".