422545600512 has 312 divisors, whose sum is σ = 1446587740416. Its totient is φ = 120725323776.

The previous prime is 422545600459. The next prime is 422545600517. The reversal of 422545600512 is 215006545224.

422545600512 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 45 + 600 + 5 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (422545600517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6936973 + ... + 6997619.

It is an arithmetic number, because the mean of its divisors is an integer number (4636499168).

Almost surely, 2^422545600512 is an apocalyptic number.

422545600512 is a gapful number since it is divisible by the number (42) 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 422545600512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723293870208).

422545600512 is an abundant number, since it is smaller than the sum of its proper divisors (1024042139904).

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

422545600512 is an frugal number, since it uses more digits than its factorization.

422545600512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60693 (or 60659 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 422545600512 in words is "four hundred twenty-two billion, five hundred forty-five million, six hundred thousand, five hundred twelve".