1616752938256 has 45 divisors (see below), whose sum is σ = 3147897082053. Its totient is φ = 804411882240.

The previous prime is 1616752938211. The next prime is 1616752938257. The reversal of 1616752938256 is 6528392576161.

The square root of 1616752938256 is 1271516.

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., 1215912003856 + 400840934400 = 1102684^2 + 633120^2 .

It is a super-2 number, since 2×1616752938256² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1616752938194 and 1616752938203.

It is not an unprimeable number, because it can be changed into a prime (1616752938257) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1225740765 + ... + 1225742083.

Almost surely, 2^{1616752938256} is an apocalyptic number.

1616752938256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1616752938256 is the 1271516-th square number.

It is an amenable number.

1616752938256 is a deficient number, since it is larger than the sum of its proper divisors (1531144143797).

1616752938256 is an frugal number, since it uses more digits than its factorization.

1616752938256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 1562 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 61.

The spelling of 1616752938256 in words is "one trillion, six hundred sixteen billion, seven hundred fifty-two million, nine hundred thirty-eight thousand, two hundred fifty-six".