445153851648 has 216 divisors, whose sum is σ = 1405174339296. Its totient is φ = 134412902400.

The previous prime is 445153851643. The next prime is 445153851671. The reversal of 445153851648 is 846158351544.

445153851648 is a `hidden beast` number, since 4 + 4 + 51 + 5 + 38 + 516 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 445153851594 and 445153851603.

It is not an unprimeable number, because it can be changed into a prime (445153851641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7090411 + ... + 7152917.

It is an arithmetic number, because the mean of its divisors is an integer number (6505436756).

Almost surely, 2^445153851648 is an apocalyptic number.

445153851648 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 445153851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702587169648).

445153851648 is an abundant number, since it is smaller than the sum of its proper divisors (960020487648).

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

445153851648 is a wasteful number, since it uses less digits than its factorization.

445153851648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62821 (or 62804 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 445153851648 in words is "four hundred forty-five billion, one hundred fifty-three million, eight hundred fifty-one thousand, six hundred forty-eight".