10305504006644 has 48 divisors (see below), whose sum is σ = 22486968354816. Its totient is φ = 4014732799200.

The previous prime is 10305504006617. The next prime is 10305504006649. The reversal of 10305504006644 is 44660040550301.

It is a super-2 number, since 2×10305504006644² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10305504006598 and 10305504006607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305504006649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455809 + ... + 4767639.

It is an arithmetic number, because the mean of its divisors is an integer number (468478507392).

Almost surely, 2^{10305504006644} is an apocalyptic number.

10305504006644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10305504006644 is an abundant number, since it is smaller than the sum of its proper divisors (12181464348172).

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

10305504006644 is a wasteful number, since it uses less digits than its factorization.

10305504006644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321956 (or 3321954 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 10305504006644 its reverse (44660040550301), we get a palindrome (54965544556945).

The spelling of 10305504006644 in words is "ten trillion, three hundred five billion, five hundred four million, six thousand, six hundred forty-four".