445655460096 has 648 divisors, whose sum is σ = 1684481984640. Its totient is φ = 110710702080.

The previous prime is 445655460091. The next prime is 445655460109. The reversal of 445655460096 is 690064556544.

445655460096 is a `hidden beast` number, since 4 + 4 + 5 + 6 + 5 + 546 + 0 + 0 + 96 = 666.

It is a super-2 number, since 2×445655460096² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445655460091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44879260 + ... + 44889188.

Almost surely, 2^445655460096 is an apocalyptic number.

445655460096 is a gapful number since it is divisible by the number (46) 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 445655460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842240992320).

445655460096 is an abundant number, since it is smaller than the sum of its proper divisors (1238826524544).

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

445655460096 is a wasteful number, since it uses less digits than its factorization.

445655460096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10003 (or 9975 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 445655460096 in words is "four hundred forty-five billion, six hundred fifty-five million, four hundred sixty thousand, ninety-six".