1134012668544 has 192 divisors, whose sum is σ = 3849721274880. Its totient is φ = 313551820800.

The previous prime is 1134012668497. The next prime is 1134012668557. The reversal of 1134012668544 is 4458662104311.

1134012668544 is a `hidden beast` number, since 1 + 1 + 3 + 40 + 1 + 2 + 6 + 68 + 544 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1134012668544.

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, 2018187 + ... + 2518154.

It is an arithmetic number, because the mean of its divisors is an integer number (20050631640).

Almost surely, 2^{1134012668544} is an apocalyptic number.

1134012668544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1134012668544 is an abundant number, since it is smaller than the sum of its proper divisors (2715708606336).

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

1134012668544 is a wasteful number, since it uses less digits than its factorization.

1134012668544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536399 (or 4536384 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1134012668544 in words is "one trillion, one hundred thirty-four billion, twelve million, six hundred sixty-eight thousand, five hundred forty-four".