6416651338321 has 9 divisors (see below), whose sum is σ = 7464288510171. Its totient is φ = 5499971662752.

The previous prime is 6416651338303. The next prime is 6416651338333. The reversal of 6416651338321 is 1238331566146.

The square root of 6416651338321 is 2533111.

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., 5323656363025 + 1092994975296 = 2307305^2 + 1045464^2 .

It is not a de Polignac number, because 6416651338321 - 2¹³ = 6416651330129 is a prime.

It is a super-3 number, since 3×6416651338321³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6416651338921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17550841 + ... + 17912713.

It is an arithmetic number, because the mean of its divisors is an integer number (829365390019).

Almost surely, 2^{6416651338321} is an apocalyptic number.

6416651338321 is the 2533111-st square number.

6416651338321 is the 1266556-th centered octagonal number.

It is an amenable number.

6416651338321 is a deficient number, since it is larger than the sum of its proper divisors (1047637171850).

6416651338321 is an frugal number, since it uses more digits than its factorization.

6416651338321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723760 (or 361880 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 49.

Multiplying 6416651338321 by its sum of digits (49), we get a square (314415915577729 = 17731777²).

6416651338321 divided by its sum of digits (49) gives a square (130952068129 = 361873²).

The spelling of 6416651338321 in words is "six trillion, four hundred sixteen billion, six hundred fifty-one million, three hundred thirty-eight thousand, three hundred twenty-one".