4245646465424 has 160 divisors (see below), whose sum is σ = 10475591185920. Its totient is φ = 1621331582976.

The previous prime is 4245646465391. The next prime is 4245646465429.

It is a happy number.

4245646465424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 4245646465424.

It is not an unprimeable number, because it can be changed into a prime (4245646465429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288086984 + ... + 288101720.

It is an arithmetic number, because the mean of its divisors is an integer number (65472444912).

Almost surely, 2^{4245646465424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4245646465424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237795592960).

4245646465424 is an abundant number, since it is smaller than the sum of its proper divisors (6229944720496).

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

4245646465424 is a wasteful number, since it uses less digits than its factorization.

4245646465424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21617 (or 21611 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 56.

The spelling of 4245646465424 in words is "four trillion, two hundred forty-five billion, six hundred forty-six million, four hundred sixty-five thousand, four hundred twenty-four".