446514746700 has 144 divisors (see below), whose sum is σ = 1410224739840. Its totient is φ = 108179808000.

The previous prime is 446514746693. The next prime is 446514746701. The reversal of 446514746700 is 7647415644.

It is a self number, because there is not a number n which added to its sum of digits gives 446514746700.

It is not an unprimeable number, because it can be changed into a prime (446514746701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5467165 + ... + 5548235.

It is an arithmetic number, because the mean of its divisors is an integer number (9793227360).

Almost surely, 2^446514746700 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 446514746700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705112369920).

446514746700 is an abundant number, since it is smaller than the sum of its proper divisors (963709993140).

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

446514746700 is a wasteful number, since it uses less digits than its factorization.

446514746700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82768 (or 82761 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 446514746700 in words is "four hundred forty-six billion, five hundred fourteen million, seven hundred forty-six thousand, seven hundred".