445314716990832 has 2560 divisors, whose sum is σ = 1481674126786560. Its totient is φ = 113810780160000.

The previous prime is 445314716990777. The next prime is 445314716990833. The reversal of 445314716990832 is 238099617413544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445314716990833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2949104085957 + ... + 2949104086107.

It is an arithmetic number, because the mean of its divisors is an integer number (578778955776).

It is a 1-persistent number, because it is pandigital, but 2⋅445314716990832 = 890629433981664 is not.

Almost surely, 2^{445314716990832} 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 445314716990832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740837063393280).

445314716990832 is an abundant number, since it is smaller than the sum of its proper divisors (1036359409795728).

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

445314716990832 is a wasteful number, since it uses less digits than its factorization.

445314716990832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 445314716990832 in words is "four hundred forty-five trillion, three hundred fourteen billion, seven hundred sixteen million, nine hundred ninety thousand, eight hundred thirty-two".