445756725337320 has 384 divisors, whose sum is σ = 1474656264900000. Its totient is φ = 116759627956224.

The previous prime is 445756725337243. The next prime is 445756725337333. The reversal of 445756725337320 is 23733527657544.

445756725337320 is a `hidden beast` number, since 4 + 4 + 5 + 7 + 5 + 6 + 7 + 2 + 533 + 73 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5311706621796 + 440445018715524 = 2304714^2 + 20986782^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3007873144 + ... + 3008021336.

Almost surely, 2^{445756725337320} is an apocalyptic number.

445756725337320 is a gapful number since it is divisible by the number (40) 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 445756725337320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737328132450000).

445756725337320 is an abundant number, since it is smaller than the sum of its proper divisors (1028899539562680).

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

445756725337320 is a wasteful number, since it uses less digits than its factorization.

445756725337320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148917 (or 148910 counting only the distinct ones).

The product of its (nonzero) digits is 444528000, while the sum is 63.

The spelling of 445756725337320 in words is "four hundred forty-five trillion, seven hundred fifty-six billion, seven hundred twenty-five million, three hundred thirty-seven thousand, three hundred twenty".