446406513564 has 96 divisors (see below), whose sum is σ = 1152874985472. Its totient is φ = 133304248000.

The previous prime is 446406513541. The next prime is 446406513599. The reversal of 446406513564 is 465315604644.

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, 21235819 + ... + 21256829.

It is an arithmetic number, because the mean of its divisors is an integer number (12009114432).

Almost surely, 2^446406513564 is an apocalyptic number.

446406513564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446406513564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576437492736).

446406513564 is an abundant number, since it is smaller than the sum of its proper divisors (706468471908).

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

446406513564 is a wasteful number, since it uses less digits than its factorization.

446406513564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23367 (or 23365 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 446406513564 in words is "four hundred forty-six billion, four hundred six million, five hundred thirteen thousand, five hundred sixty-four".