10445288254401 has 96 divisors (see below), whose sum is σ = 19079724182400. Its totient is φ = 4996479237120.

The previous prime is 10445288254351. The next prime is 10445288254403.

10445288254401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10445288254401 - 2¹¹ = 10445288252353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10445288254403) 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, 7990135 + ... + 9205043.

It is an arithmetic number, because the mean of its divisors is an integer number (198747126900).

Almost surely, 2^{10445288254401} is an apocalyptic number.

10445288254401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10445288254401 is a deficient number, since it is larger than the sum of its proper divisors (8634435927999).

10445288254401 is a wasteful number, since it uses less digits than its factorization.

10445288254401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215359 (or 1215352 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 48.

It can be divided in two parts, 1044528 and 8254401, that added together give a palindrome (9298929).

The spelling of 10445288254401 in words is "ten trillion, four hundred forty-five billion, two hundred eighty-eight million, two hundred fifty-four thousand, four hundred one".