10545661223104 has 224 divisors, whose sum is σ = 25896919910400. Its totient is φ = 4159754403840.

The previous prime is 10545661223099. The next prime is 10545661223143. The reversal of 10545661223104 is 40132216654501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10545661223104² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83345872 + ... + 83472304.

It is an arithmetic number, because the mean of its divisors is an integer number (115611249600).

Almost surely, 2^{10545661223104} is an apocalyptic number.

10545661223104 is a gapful number since it is divisible by the number (14) 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 10545661223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948459955200).

10545661223104 is an abundant number, since it is smaller than the sum of its proper divisors (15351258687296).

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

10545661223104 is a wasteful number, since it uses less digits than its factorization.

10545661223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126751 (or 126741 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

Adding to 10545661223104 its reverse (40132216654501), we get a palindrome (50677877877605).

The spelling of 10545661223104 in words is "ten trillion, five hundred forty-five billion, six hundred sixty-one million, two hundred twenty-three thousand, one hundred four".