445464120192 has 768 divisors, whose sum is σ = 1593389491200. Its totient is φ = 107516657664.

The previous prime is 445464120113. The next prime is 445464120197. The reversal of 445464120192 is 291021464544.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445464120197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285736309 + ... + 285737867.

It is an arithmetic number, because the mean of its divisors is an integer number (2074725900).

Almost surely, 2^445464120192 is an apocalyptic number.

445464120192 is a gapful number since it is divisible by the number (42) 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 445464120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796694745600).

445464120192 is an abundant number, since it is smaller than the sum of its proper divisors (1147925371008).

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

445464120192 is a wasteful number, since it uses less digits than its factorization.

445464120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 445464120192 in words is "four hundred forty-five billion, four hundred sixty-four million, one hundred twenty thousand, one hundred ninety-two".