3648946444416 has 1728 divisors, whose sum is σ = 14418324648000. Its totient is φ = 909169422336.

The previous prime is 3648946444349. The next prime is 3648946444417. The reversal of 3648946444416 is 6144446498463.

3648946444416 is a `hidden beast` number, since 3 + 6 + 48 + 94 + 64 + 4 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3648946444417) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10164196045 + ... + 10164196403.

It is an arithmetic number, because the mean of its divisors is an integer number (8343937875).

Almost surely, 2^{3648946444416} is an apocalyptic number.

3648946444416 is a gapful number since it is divisible by the number (36) 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 3648946444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209162324000).

3648946444416 is an abundant number, since it is smaller than the sum of its proper divisors (10769378203584).

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

3648946444416 is an equidigital number, since it uses as much as digits as its factorization.

3648946444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 403 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 63.

The spelling of 3648946444416 in words is "three trillion, six hundred forty-eight billion, nine hundred forty-six million, four hundred forty-four thousand, four hundred sixteen".