404479846564101 has 24 divisors (see below), whose sum is σ = 728413922817984. Its totient is φ = 210119400812160.

The previous prime is 404479846564099. The next prime is 404479846564141. The reversal of 404479846564101 is 101465648974404.

404479846564101 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 7 + 9 + 8 + 465 + 64 + 101 = 666.

It is not a de Polignac number, because 404479846564101 - 2¹ = 404479846564099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404479846564141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291832500436 + ... + 291832501821.

It is an arithmetic number, because the mean of its divisors is an integer number (30350580117416).

Almost surely, 2^{404479846564101} is an apocalyptic number.

It is an amenable number.

404479846564101 is a deficient number, since it is larger than the sum of its proper divisors (323934076253883).

404479846564101 is a wasteful number, since it uses less digits than its factorization.

404479846564101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583665002281 (or 583665002278 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 404479846564101 in words is "four hundred four trillion, four hundred seventy-nine billion, eight hundred forty-six million, five hundred sixty-four thousand, one hundred one".