1134743972544 has 1134 divisors, whose sum is σ = 4330538758260. Its totient is φ = 283091687424.

The previous prime is 1134743972543. The next prime is 1134743972641. The reversal of 1134743972544 is 4452793474311.

1134743972544 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 7 + 4 + 3 + 97 + 2 + 544 = 666.

It is not an unprimeable number, because it can be changed into a prime (1134743972543) by changing a digit.

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 161 ways as a sum of consecutive naturals, for example, 1721917687 + ... + 1721918345.

Almost surely, 2^{1134743972544} is an apocalyptic number.

1134743972544 is a gapful number since it is divisible by the number (14) 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 1134743972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165269379130).

1134743972544 is an abundant number, since it is smaller than the sum of its proper divisors (3195794785716).

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

1134743972544 is a wasteful number, since it uses less digits than its factorization.

1134743972544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 703 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 1134743972544 in words is "one trillion, one hundred thirty-four billion, seven hundred forty-three million, nine hundred seventy-two thousand, five hundred forty-four".