10645441561601 has 96 divisors (see below), whose sum is σ = 14834127974400. Its totient is φ = 7442435088000.

The previous prime is 10645441561597. The next prime is 10645441561619. The reversal of 10645441561601 is 10616514454601.

It is not a de Polignac number, because 10645441561601 - 2² = 10645441561597 is a prime.

It is a super-2 number, since 2×10645441561601² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10645441561661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37241660 + ... + 37526418.

It is an arithmetic number, because the mean of its divisors is an integer number (154522166400).

Almost surely, 2^{10645441561601} is an apocalyptic number.

10645441561601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10645441561601 is a deficient number, since it is larger than the sum of its proper divisors (4188686412799).

10645441561601 is a wasteful number, since it uses less digits than its factorization.

10645441561601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284931 (or 284920 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 10645441561601 in words is "ten trillion, six hundred forty-five billion, four hundred forty-one million, five hundred sixty-one thousand, six hundred one".