1134192754688 has 400 divisors, whose sum is σ = 2854820934900. Its totient is φ = 448857636864.

The previous prime is 1134192754657. The next prime is 1134192754693. The reversal of 1134192754688 is 8864572914311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1058034417664 + 76158337024 = 1028608^2 + 275968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21399863270 + ... + 21399863322.

Almost surely, 2^{1134192754688} 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 1134192754688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427410467450).

1134192754688 is an abundant number, since it is smaller than the sum of its proper divisors (1720628180212).

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

1134192754688 is an frugal number, since it uses more digits than its factorization.

1134192754688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 79 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 59.

The spelling of 1134192754688 in words is "one trillion, one hundred thirty-four billion, one hundred ninety-two million, seven hundred fifty-four thousand, six hundred eighty-eight".