1448000064 has 336 divisors, whose sum is σ = 5041440768. Its totient is φ = 403481088.

The previous prime is 1448000039. The next prime is 1448000087. The reversal of 1448000064 is 4600008441.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5116467 + ... + 5116749.

It is an arithmetic number, because the mean of its divisors is an integer number (15004288).

Almost surely, 2^1448000064 is an apocalyptic number.

1448000064 is a gapful number since it is divisible by the number (14) 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 1448000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520720384).

1448000064 is an abundant number, since it is smaller than the sum of its proper divisors (3593440704).

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

1448000064 is an equidigital number, since it uses as much as digits as its factorization.

1448000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1448000064 is about 38052.5960218222. The cubic root of 1448000064 is about 1131.3305818324.

The spelling of 1448000064 in words is "one billion, four hundred forty-eight million, sixty-four", and thus it is an aban number.