445558340160 has 336 divisors, whose sum is σ = 1557807416256. Its totient is φ = 116861792256.

The previous prime is 445558340141. The next prime is 445558340167. The reversal of 445558340160 is 61043855544.

445558340160 is a `hidden beast` number, since 4 + 4 + 5 + 5 + 583 + 4 + 0 + 1 + 60 = 666.

It is a super-2 number, since 2×445558340160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (445558340167) 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, 164593527 + ... + 164596233.

It is an arithmetic number, because the mean of its divisors is an integer number (4636331596).

Almost surely, 2^445558340160 is an apocalyptic number.

445558340160 is a gapful number since it is divisible by the number (40) 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 445558340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778903708128).

445558340160 is an abundant number, since it is smaller than the sum of its proper divisors (1112249076096).

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

445558340160 is a wasteful number, since it uses less digits than its factorization.

445558340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 445558340160 in words is "four hundred forty-five billion, five hundred fifty-eight million, three hundred forty thousand, one hundred sixty".