1456848721536 has 128 divisors (see below), whose sum is σ = 4169234039040. Its totient is φ = 448066867200.

The previous prime is 1456848721501. The next prime is 1456848721583. The reversal of 1456848721536 is 6351278486541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1456848721536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11674126 + ... + 11798258.

It is an arithmetic number, because the mean of its divisors is an integer number (32572140930).

Almost surely, 2^{1456848721536} is an apocalyptic number.

1456848721536 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 1456848721536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084617019520).

1456848721536 is an abundant number, since it is smaller than the sum of its proper divisors (2712385317504).

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

1456848721536 is a wasteful number, since it uses less digits than its factorization.

1456848721536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126514 (or 126502 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 60.

The spelling of 1456848721536 in words is "one trillion, four hundred fifty-six billion, eight hundred forty-eight million, seven hundred twenty-one thousand, five hundred thirty-six".