64404455440446 has 64 divisors (see below), whose sum is σ = 162920361623040. Its totient is φ = 18667958094720.

The previous prime is 64404455440439. The next prime is 64404455440489.

64404455440446 is a `hidden beast` number, since 6 + 4 + 4 + 0 + 4 + 4 + 554 + 40 + 4 + 46 = 666.

64404455440446 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64404455440392 and 64404455440401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2357051755 + ... + 2357079078.

It is an arithmetic number, because the mean of its divisors is an integer number (2545630650360).

Almost surely, 2^{64404455440446} is an apocalyptic number.

64404455440446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64404455440446 is an abundant number, since it is smaller than the sum of its proper divisors (98515906182594).

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

64404455440446 is a wasteful number, since it uses less digits than its factorization.

64404455440446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714130878 (or 4714130872 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 54.

The spelling of 64404455440446 in words is "sixty-four trillion, four hundred four billion, four hundred fifty-five million, four hundred forty thousand, four hundred forty-six".