2133749661696 has 285 divisors, whose sum is σ = 6395067752689. Its totient is φ = 709006196736.

The previous prime is 2133749661653. The next prime is 2133749661739. The reversal of 2133749661696 is 6961669473312.

The square root of 2133749661696 is 1460736.

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

2133749661696 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 7 + 4 + 9 + 6 + 616 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2133749661653) and next prime (2133749661739).

It can be written as a sum of positive squares in only one way, i.e., 119439360000 + 2014310301696 = 345600^2 + 1419264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6731071330 + ... + 6731071646.

Almost surely, 2^{2133749661696} is an apocalyptic number.

2133749661696 is the 1460736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133749661696

2133749661696 is an abundant number, since it is smaller than the sum of its proper divisors (4261318090993).

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

2133749661696 is an frugal number, since it uses more digits than its factorization.

2133749661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 322 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 2133749661696 in words is "two trillion, one hundred thirty-three billion, seven hundred forty-nine million, six hundred sixty-one thousand, six hundred ninety-six".