11311759983616 has 99 divisors (see below), whose sum is σ = 23002596911853. Its totient is φ = 5559931883520.

The previous prime is 11311759983569. The next prime is 11311759983631. The reversal of 11311759983616 is 61638995711311.

The square root of 11311759983616 is 3363296.

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., 367837398016 + 10943922585600 = 606496^2 + 3308160^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6565152931 + ... + 6565154653.

Almost surely, 2^{11311759983616} is an apocalyptic number.

11311759983616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11311759983616 is the 3363296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311759983616

11311759983616 is an abundant number, since it is smaller than the sum of its proper divisors (11690836928237).

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

11311759983616 is an frugal number, since it uses more digits than its factorization.

11311759983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 1786 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 61.

The spelling of 11311759983616 in words is "eleven trillion, three hundred eleven billion, seven hundred fifty-nine million, nine hundred eighty-three thousand, six hundred sixteen".