445813948160 has 288 divisors, whose sum is σ = 1248352560000. Its totient is φ = 152478842880.

The previous prime is 445813948159. The next prime is 445813948163. The reversal of 445813948160 is 61849318544.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445813948163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228738866 + ... + 228740814.

It is an arithmetic number, because the mean of its divisors is an integer number (4334557500).

Almost surely, 2^445813948160 is an apocalyptic number.

445813948160 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 445813948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624176280000).

445813948160 is an abundant number, since it is smaller than the sum of its proper divisors (802538611840).

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

445813948160 is an equidigital number, since it uses as much as digits as its factorization.

445813948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 445813948160 in words is "four hundred forty-five billion, eight hundred thirteen million, nine hundred forty-eight thousand, one hundred sixty".