445447349760 has 1120 divisors, whose sum is σ = 1819764286560. Its totient is φ = 92522938368.

The previous prime is 445447349729. The next prime is 445447349791. The reversal of 445447349760 is 67943744544.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (445447349729) and next prime (445447349791).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a self number, because there is not a number n which added to its sum of digits gives 445447349760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15360253426 + ... + 15360253454.

Almost surely, 2^445447349760 is an apocalyptic number.

445447349760 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 445447349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909882143280).

445447349760 is an abundant number, since it is smaller than the sum of its proper divisors (1374316936800).

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

445447349760 is an frugal number, since it uses more digits than its factorization.

445447349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 57.

The spelling of 445447349760 in words is "four hundred forty-five billion, four hundred forty-seven million, three hundred forty-nine thousand, seven hundred sixty".