1648984720384 has 33 divisors (see below), whose sum is σ = 3296441250237. Its totient is φ = 824471814144.

The previous prime is 1648984720379. The next prime is 1648984720399. The reversal of 1648984720384 is 4830274898461.

The square root of 1648984720384 is 1284128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13859881984 + 1635124838400 = 117728^2 + 1278720^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 41072032 + ... + 41112160.

Almost surely, 2^{1648984720384} is an apocalyptic number.

1648984720384 is the 1284128-th square number.

It is an amenable number.

1648984720384 is a deficient number, since it is larger than the sum of its proper divisors (1647456529853).

1648984720384 is an frugal number, since it uses more digits than its factorization.

1648984720384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80278 (or 40131 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 64.

Multiplying 1648984720384 by its sum of digits (64), we get a square (105535022104576 = 10273024²).

1648984720384 divided by its sum of digits (64) gives a square (25765386256 = 160516²).

The spelling of 1648984720384 in words is "one trillion, six hundred forty-eight billion, nine hundred eighty-four million, seven hundred twenty thousand, three hundred eighty-four".