1134716544 has 192 divisors, whose sum is σ = 3724124040. Its totient is φ = 328531968.

The previous prime is 1134716521. The next prime is 1134716563. The reversal of 1134716544 is 4456174311.

1134716544 is a `hidden beast` number, since 11 + 34 + 71 + 6 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1011240000 + 123476544 = 31800^2 + 11112^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1134716499 and 1134716508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252364 + ... + 256820.

Almost surely, 2^1134716544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134716544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862062020).

1134716544 is an abundant number, since it is smaller than the sum of its proper divisors (2589407496).

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

1134716544 is a wasteful number, since it uses less digits than its factorization.

1134716544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4492 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1134716544 is about 33685.5539363686. The cubic root of 1134716544 is about 1043.0275879644.

The spelling of 1134716544 in words is "one billion, one hundred thirty-four million, seven hundred sixteen thousand, five hundred forty-four".