10505441013246 has 64 divisors (see below), whose sum is σ = 23561317463040. Its totient is φ = 3469454190720.

The previous prime is 10505441013209. The next prime is 10505441013251. The reversal of 10505441013246 is 64231014450501.

10505441013246 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 544 + 101 + 3 + 2 + 4 + 6 = 666.

It is a super-2 number, since 2×10505441013246² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10505441013246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15178881 + ... + 15855891.

It is an arithmetic number, because the mean of its divisors is an integer number (368145585360).

Almost surely, 2^{10505441013246} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10505441013246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780658731520).

10505441013246 is an abundant number, since it is smaller than the sum of its proper divisors (13055876449794).

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

10505441013246 is a wasteful number, since it uses less digits than its factorization.

10505441013246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679678 (or 679672 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10505441013246 its reverse (64231014450501), we get a palindrome (74736455463747).

The spelling of 10505441013246 in words is "ten trillion, five hundred five billion, four hundred forty-one million, thirteen thousand, two hundred forty-six".