446649134904 has 384 divisors, whose sum is σ = 1460652211200. Its totient is φ = 123869191680.

The previous prime is 446649134759. The next prime is 446649134909. The reversal of 446649134904 is 409431946644.

446649134904 is a `hidden beast` number, since 4 + 4 + 6 + 64 + 91 + 3 + 490 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446649134909) 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, 437461914 + ... + 437462934.

It is an arithmetic number, because the mean of its divisors is an integer number (3803781800).

Almost surely, 2^446649134904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446649134904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730326105600).

446649134904 is an abundant number, since it is smaller than the sum of its proper divisors (1014003076296).

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

446649134904 is a wasteful number, since it uses less digits than its factorization.

446649134904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 446649134904 in words is "four hundred forty-six billion, six hundred forty-nine million, one hundred thirty-four thousand, nine hundred four".