1134613711872 has 264 divisors, whose sum is σ = 3399504582656. Its totient is φ = 364178571264.

The previous prime is 1134613711859. The next prime is 1134613711921. The reversal of 1134613711872 is 2781173164311.

1134613711872 is a `hidden beast` number, since 1 + 1 + 3 + 461 + 3 + 7 + 1 + 187 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33059073 + ... + 33093375.

Almost surely, 2^{1134613711872} is an apocalyptic number.

1134613711872 is a gapful number since it is divisible by the number (12) 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 1134613711872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699752291328).

1134613711872 is an abundant number, since it is smaller than the sum of its proper divisors (2264890870784).

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

1134613711872 is a wasteful number, since it uses less digits than its factorization.

1134613711872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34463 (or 34442 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 1134613711872 in words is "one trillion, one hundred thirty-four billion, six hundred thirteen million, seven hundred eleven thousand, eight hundred seventy-two".