1448006736 has 80 divisors (see below), whose sum is σ = 4101755328. Its totient is φ = 436531200.

The previous prime is 1448006719. The next prime is 1448006737. The reversal of 1448006736 is 6376008441.

It is a junction number, because it is equal to n+sod(n) for n = 1448006694 and 1448006703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1448006737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97056 + ... + 110976.

Almost surely, 2^1448006736 is an apocalyptic number.

1448006736 is a gapful number since it is divisible by the number (16) 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 1448006736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050877664).

1448006736 is an abundant number, since it is smaller than the sum of its proper divisors (2653748592).

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

1448006736 is a wasteful number, since it uses less digits than its factorization.

1448006736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14140 (or 14134 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1448006736 is about 38052.6836898529. The cubic root of 1448006736 is about 1131.3323194535.

The spelling of 1448006736 in words is "one billion, four hundred forty-eight million, six thousand, seven hundred thirty-six".