445452200024832 has 1728 divisors, whose sum is σ = 1839836810972160. Its totient is φ = 99750798950400.

The previous prime is 445452200024707. The next prime is 445452200024927. The reversal of 445452200024832 is 238420002254544.

It is a happy number.

445452200024832 is a `hidden beast` number, since 4 + 4 + 54 + 522 + 0 + 0 + 0 + 2 + 48 + 32 = 666.

It is a super-2 number, since 2×445452200024832² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5136095644 + ... + 5136182372.

It is an arithmetic number, because the mean of its divisors is an integer number (1064720376720).

Almost surely, 2^{445452200024832} is an apocalyptic number.

445452200024832 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 445452200024832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919918405486080).

445452200024832 is an abundant number, since it is smaller than the sum of its proper divisors (1394384610947328).

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

445452200024832 is a wasteful number, since it uses less digits than its factorization.

445452200024832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86930 (or 86913 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

The spelling of 445452200024832 in words is "four hundred forty-five trillion, four hundred fifty-two billion, two hundred million, twenty-four thousand, eight hundred thirty-two".