445523836133376 has 2016 divisors, whose sum is σ = 1767279759458304. Its totient is φ = 105211743436800.

The previous prime is 445523836133371. The next prime is 445523836133407. The reversal of 445523836133376 is 673331638325544.

445523836133376 is a `hidden beast` number, since 4 + 4 + 5 + 5 + 2 + 3 + 8 + 3 + 613 + 3 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×445523836133376² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445523836133371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54391869441 + ... + 54391877631.

Almost surely, 2^{445523836133376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445523836133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883639879729152).

445523836133376 is an abundant number, since it is smaller than the sum of its proper divisors (1321755923324928).

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

445523836133376 is a wasteful number, since it uses less digits than its factorization.

445523836133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8332 (or 8294 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 63.

The spelling of 445523836133376 in words is "four hundred forty-five trillion, five hundred twenty-three billion, eight hundred thirty-six million, one hundred thirty-three thousand, three hundred seventy-six".