1121684337216 has 63 divisors (see below), whose sum is σ = 3215178484921. Its totient is φ = 373886306304.

The previous prime is 1121684337197. The next prime is 1121684337229. The reversal of 1121684337216 is 6127334861211.

The square root of 1121684337216 is 1059096.

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

1121684337216 is a `hidden beast` number, since 1 + 1 + 21 + 6 + 84 + 337 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2489610816 + 1119194726400 = 49896^2 + 1057920^2 .

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, 25396240 + ... + 25440368.

Almost surely, 2^{1121684337216} is an apocalyptic number.

1121684337216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1121684337216 is the 1059096-th square number.

It is an amenable number.

1121684337216 is an abundant number, since it is smaller than the sum of its proper divisors (2093494147705).

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

1121684337216 is an frugal number, since it uses more digits than its factorization.

1121684337216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88276 (or 44134 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 1121684337216 in words is "one trillion, one hundred twenty-one billion, six hundred eighty-four million, three hundred thirty-seven thousand, two hundred sixteen".