445693408875072 has 42 divisors (see below), whose sum is σ = 1277499684120998. Its totient is φ = 148564469624832.

The previous prime is 445693408875053. The next prime is 445693408875073. The reversal of 445693408875072 is 270578804396544.

445693408875072 is a `hidden beast` number, since 4 + 4 + 5 + 6 + 9 + 34 + 0 + 8 + 87 + 507 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 400439480648256 + 45253928226816 = 20010984^2 + 6727104^2 .

It is a super-2 number, since 2×445693408875072² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (445693408875073) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 386886639073 + ... + 386886640224.

Almost surely, 2^{445693408875072} is an apocalyptic number.

It is an amenable number.

445693408875072 is an abundant number, since it is smaller than the sum of its proper divisors (831806275245926).

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

445693408875072 is a wasteful number, since it uses less digits than its factorization.

445693408875072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773773279315 (or 773773279302 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 445693408875072 in words is "four hundred forty-five trillion, six hundred ninety-three billion, four hundred eight million, eight hundred seventy-five thousand, seventy-two".