425193245568 has 640 divisors, whose sum is σ = 1639412544000. Its totient is φ = 106232352768.

The previous prime is 425193245563. The next prime is 425193245591. The reversal of 425193245568 is 865542391524.

425193245568 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 9 + 32 + 45 + 568 = 666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425193245563) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17914413 + ... + 17938131.

It is an arithmetic number, because the mean of its divisors is an integer number (2561582100).

Almost surely, 2^425193245568 is an apocalyptic number.

425193245568 is a gapful number since it is divisible by the number (48) 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 425193245568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819706272000).

425193245568 is an abundant number, since it is smaller than the sum of its proper divisors (1214219298432).

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

425193245568 is a wasteful number, since it uses less digits than its factorization.

425193245568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23784 (or 23763 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

It can be divided in two parts, 425193 and 245568, that added together give a square (670761 = 819²).

The spelling of 425193245568 in words is "four hundred twenty-five billion, one hundred ninety-three million, two hundred forty-five thousand, five hundred sixty-eight".