1305200649648 has 90 divisors (see below), whose sum is σ = 3922427643876. Its totient is φ = 372898641024.

The previous prime is 1305200649647. The next prime is 1305200649673. The reversal of 1305200649648 is 8469460025031.

It is a super-2 number, since 2×1305200649648² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1305200649597 and 1305200649606.

It is not an unprimeable number, because it can be changed into a prime (1305200649647) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 55394286 + ... + 55417842.

Almost surely, 2^{1305200649648} is an apocalyptic number.

It is an amenable number.

1305200649648 is an abundant number, since it is smaller than the sum of its proper divisors (2617226994228).

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

1305200649648 is an frugal number, since it uses more digits than its factorization.

1305200649648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47139 (or 23569 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

Multiplying 1305200649648 by its sum of digits (48), we get a square (62649631183104 = 7915152²).

1305200649648 divided by its sum of digits (48) gives a square (27191680201 = 164899²).

The spelling of 1305200649648 in words is "one trillion, three hundred five billion, two hundred million, six hundred forty-nine thousand, six hundred forty-eight".