6348952598436 has 144 divisors (see below), whose sum is σ = 19475345320704. Its totient is φ = 1702444474368.

The previous prime is 6348952598411. The next prime is 6348952598449.

6348952598436 is a `hidden beast` number, since 6 + 3 + 4 + 8 + 9 + 525 + 98 + 4 + 3 + 6 = 666.

6348952598436 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 586920 + ... + 3611423.

It is an arithmetic number, because the mean of its divisors is an integer number (135245453616).

Almost surely, 2^{6348952598436} 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 6348952598436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737672660352).

6348952598436 is an abundant number, since it is smaller than the sum of its proper divisors (13126392722268).

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

6348952598436 is a wasteful number, since it uses less digits than its factorization.

6348952598436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198730 (or 4198725 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 72.

The spelling of 6348952598436 in words is "six trillion, three hundred forty-eight billion, nine hundred fifty-two million, five hundred ninety-eight thousand, four hundred thirty-six".