445828305165120 has 224 divisors, whose sum is σ = 1627017091603200. Its totient is φ = 114787977357312.

The previous prime is 445828305165097. The next prime is 445828305165137. The reversal of 445828305165120 is 21561503828544.

445828305165120 is a `hidden beast` number, since 4 + 4 + 5 + 8 + 28 + 30 + 516 + 51 + 20 = 666.

It is a super-2 number, since 2×445828305165120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889413204 + ... + 889914323.

Almost surely, 2^{445828305165120} is an apocalyptic number.

445828305165120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445828305165120 is an abundant number, since it is smaller than the sum of its proper divisors (1181188786438080).

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

445828305165120 is a wasteful number, since it uses less digits than its factorization.

445828305165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779327582 (or 1779327566 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 445828305165120 in words is "four hundred forty-five trillion, eight hundred twenty-eight billion, three hundred five million, one hundred sixty-five thousand, one hundred twenty".