10446422464401 has 32 divisors (see below), whose sum is σ = 17365894886400. Its totient is φ = 5426583785280.

The previous prime is 10446422464399. The next prime is 10446422464417.

10446422464401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10446422464401 - 2¹ = 10446422464399 is a prime.

It is a super-2 number, since 2×10446422464401² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10446422464421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9598890 + ... + 10631628.

It is an arithmetic number, because the mean of its divisors is an integer number (542684215200).

Almost surely, 2^{10446422464401} is an apocalyptic number.

10446422464401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10446422464401 is a deficient number, since it is larger than the sum of its proper divisors (6919472421999).

10446422464401 is a wasteful number, since it uses less digits than its factorization.

10446422464401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076549.

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 10446422464401 in words is "ten trillion, four hundred forty-six billion, four hundred twenty-two million, four hundred sixty-four thousand, four hundred one".