445097217096 has 384 divisors, whose sum is σ = 1434878565120. Its totient is φ = 122011287552.

The previous prime is 445097217007. The next prime is 445097217101. The reversal of 445097217096 is 690712790544.

445097217096 is a `hidden beast` number, since 4 + 450 + 97 + 2 + 17 + 0 + 96 = 666.

It is a super-2 number, since 2×445097217096² (a number of 24 digits) contains 22 as substring.

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, 558465370 + ... + 558466166.

It is an arithmetic number, because the mean of its divisors is an integer number (3736662930).

Almost surely, 2^445097217096 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 445097217096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717439282560).

445097217096 is an abundant number, since it is smaller than the sum of its proper divisors (989781348024).

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

445097217096 is a wasteful number, since it uses less digits than its factorization.

445097217096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 445097217096 in words is "four hundred forty-five billion, ninety-seven million, two hundred seventeen thousand, ninety-six".