445693476384 has 384 divisors, whose sum is σ = 1451108736000. Its totient is φ = 132192497664.

The previous prime is 445693476377. The next prime is 445693476407. The reversal of 445693476384 is 483674396544.

445693476384 is a `hidden beast` number, since 4 + 4 + 569 + 3 + 4 + 7 + 63 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45293737 + ... + 45303575.

It is an arithmetic number, because the mean of its divisors is an integer number (3778929000).

Almost surely, 2^445693476384 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 445693476384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725554368000).

445693476384 is an abundant number, since it is smaller than the sum of its proper divisors (1005415259616).

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

445693476384 is a wasteful number, since it uses less digits than its factorization.

445693476384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10017 (or 10003 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 445693476384 in words is "four hundred forty-five billion, six hundred ninety-three million, four hundred seventy-six thousand, three hundred eighty-four".