1901648448 has 336 divisors, whose sum is σ = 6689994240. Its totient is φ = 527772672.

The previous prime is 1901648443. The next prime is 1901648449. The reversal of 1901648448 is 8448461091.

1901648448 is a `hidden beast` number, since 190 + 16 + 4 + 8 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1901648443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3132561 + ... + 3133167.

Almost surely, 2^1901648448 is an apocalyptic number.

1901648448 is a gapful number since it is divisible by the number (18) 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 1901648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344997120).

1901648448 is an abundant number, since it is smaller than the sum of its proper divisors (4788345792).

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

1901648448 is a wasteful number, since it uses less digits than its factorization.

1901648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1901648448 is about 43607.8943311873. The cubic root of 1901648448 is about 1238.9204200539.

The spelling of 1901648448 in words is "one billion, nine hundred one million, six hundred forty-eight thousand, four hundred forty-eight".