1133681736960 has 288 divisors, whose sum is σ = 4234734672000. Its totient is φ = 286403641344.

The previous prime is 1133681736883. The next prime is 1133681736977. The reversal of 1133681736960 is 696371863311.

1133681736960 is a `hidden beast` number, since 113 + 36 + 81 + 7 + 369 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1133681736897 and 1133681736906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206605 + ... + 1519884.

Almost surely, 2^{1133681736960} is an apocalyptic number.

1133681736960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133681736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117367336000).

1133681736960 is an abundant number, since it is smaller than the sum of its proper divisors (3101052935040).

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

1133681736960 is a wasteful number, since it uses less digits than its factorization.

1133681736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726538 (or 1726518 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 1133681736960 in words is "one trillion, one hundred thirty-three billion, six hundred eighty-one million, seven hundred thirty-six thousand, nine hundred sixty".