245643245568 has 768 divisors, whose sum is σ = 885620736000. Its totient is φ = 65715535872.

The previous prime is 245643245527. The next prime is 245643245609. The reversal of 245643245568 is 865542346542.

245643245568 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 4 + 32 + 45 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (245643245527) and next prime (245643245609).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934004605 + ... + 934004867.

It is an arithmetic number, because the mean of its divisors is an integer number (1153152000).

Almost surely, 2^245643245568 is an apocalyptic number.

245643245568 is a gapful number since it is divisible by the number (28) 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 245643245568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442810368000).

245643245568 is an abundant number, since it is smaller than the sum of its proper divisors (639977490432).

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

245643245568 is a wasteful number, since it uses less digits than its factorization.

245643245568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 421 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 54.

The spelling of 245643245568 in words is "two hundred forty-five billion, six hundred forty-three million, two hundred forty-five thousand, five hundred sixty-eight".