1913744448 has 448 divisors, whose sum is σ = 7393228800. Its totient is φ = 470292480.

The previous prime is 1913744447. The next prime is 1913744453. The reversal of 1913744448 is 8444473191.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1913744447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2527686 + ... + 2528442.

Almost surely, 2^1913744448 is an apocalyptic number.

1913744448 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 1913744448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696614400).

1913744448 is an abundant number, since it is smaller than the sum of its proper divisors (5479484352).

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

1913744448 is a wasteful number, since it uses less digits than its factorization.

1913744448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 799 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1913744448 is about 43746.3649689891. The cubic root of 1913744448 is about 1241.5417105389.

The spelling of 1913744448 in words is "one billion, nine hundred thirteen million, seven hundred forty-four thousand, four hundred forty-eight".