2199036728448 has 384 divisors, whose sum is σ = 7364702442240. Its totient is φ = 616837939200.

The previous prime is 2199036728323. The next prime is 2199036728467. The reversal of 2199036728448 is 8448276309912.

2199036728448 is a `hidden beast` number, since 2 + 1 + 9 + 90 + 36 + 72 + 8 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137975136 + ... + 137991072.

It is an arithmetic number, because the mean of its divisors is an integer number (19178912610).

Almost surely, 2^{2199036728448} is an apocalyptic number.

2199036728448 is a gapful number since it is divisible by the number (28) 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 2199036728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682351221120).

2199036728448 is an abundant number, since it is smaller than the sum of its proper divisors (5165665713792).

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

2199036728448 is a wasteful number, since it uses less digits than its factorization.

2199036728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16276 (or 16261 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2199036728448 in words is "two trillion, one hundred ninety-nine billion, thirty-six million, seven hundred twenty-eight thousand, four hundred forty-eight".