445680342706160 has 40 divisors (see below), whose sum is σ = 1036210784964576. Its totient is φ = 178271450945280.

The previous prime is 445680342706153. The next prime is 445680342706163. The reversal of 445680342706160 is 61607243086544.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×445680342706160³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 445680342706096 and 445680342706105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445680342706163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10454390 + ... + 31633130.

Almost surely, 2^{445680342706160} is an apocalyptic number.

445680342706160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445680342706160 is an abundant number, since it is smaller than the sum of its proper divisors (590530442258416).

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

445680342706160 is a wasteful number, since it uses less digits than its factorization.

445680342706160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21441801 (or 21441795 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 56.

The spelling of 445680342706160 in words is "four hundred forty-five trillion, six hundred eighty billion, three hundred forty-two million, seven hundred six thousand, one hundred sixty".