10446877864401 has 32 divisors (see below), whose sum is σ = 15347268236160. Its totient is φ = 6268198272000.

The previous prime is 10446877864369. The next prime is 10446877864483.

10446877864401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10446877864401 - 2⁵ = 10446877864369 is a prime.

It is a super-2 number, since 2×10446877864401² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10446877864001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39159801 + ... + 39425673.

It is an arithmetic number, because the mean of its divisors is an integer number (479602132380).

Almost surely, 2^{10446877864401} is an apocalyptic number.

10446877864401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10446877864401 is a deficient number, since it is larger than the sum of its proper divisors (4900390371759).

10446877864401 is a wasteful number, since it uses less digits than its factorization.

10446877864401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277777.

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 10446877864401 in words is "ten trillion, four hundred forty-six billion, eight hundred seventy-seven million, eight hundred sixty-four thousand, four hundred one".