245642366914560 has 2496 divisors, whose sum is σ = 1105428884152320. Its totient is φ = 50831480586240.

The previous prime is 245642366914559. The next prime is 245642366914561. The reversal of 245642366914560 is 65419663246542.

245642366914560 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 4 + 2 + 3 + 6 + 69 + 1 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (245642366914559) and next prime (245642366914561).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (245642366914561) 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 191 ways as a sum of consecutive naturals, for example, 103081143129 + ... + 103081145511.

It is an arithmetic number, because the mean of its divisors is an integer number (442880161920).

Almost surely, 2^{245642366914560} is an apocalyptic number.

245642366914560 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 245642366914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552714442076160).

245642366914560 is an abundant number, since it is smaller than the sum of its proper divisors (859786517237760).

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

245642366914560 is a wasteful number, since it uses less digits than its factorization.

245642366914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 245642366914560 in words is "two hundred forty-five trillion, six hundred forty-two billion, three hundred sixty-six million, nine hundred fourteen thousand, five hundred sixty".