445347963648 has 540 divisors, whose sum is σ = 1554809745720. Its totient is φ = 126414618624.

The previous prime is 445347963623. The next prime is 445347963661. The reversal of 445347963648 is 846369743544.

445347963648 is a `hidden beast` number, since 4 + 4 + 534 + 7 + 96 + 3 + 6 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 165617088 + ... + 165619776.

Almost surely, 2^445347963648 is an apocalyptic number.

445347963648 is a gapful number since it is divisible by the number (48) 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 445347963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777404872860).

445347963648 is an abundant number, since it is smaller than the sum of its proper divisors (1109461782072).

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

445347963648 is a wasteful number, since it uses less digits than its factorization.

445347963648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2864 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 445347963648 in words is "four hundred forty-five billion, three hundred forty-seven million, nine hundred sixty-three thousand, six hundred forty-eight".