1134567905328 has 240 divisors, whose sum is σ = 3850656875520. Its totient is φ = 307124006400.

The previous prime is 1134567905327. The next prime is 1134567905347. The reversal of 1134567905328 is 8235097654311.

It is a happy number.

1134567905328 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 567 + 9 + 0 + 53 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (1134567905327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250318 + ... + 1527021.

It is an arithmetic number, because the mean of its divisors is an integer number (16044403648).

It is a 1-persistent number, because it is pandigital, but 2⋅1134567905328 = 2269135810656 is not.

Almost surely, 2^{1134567905328} is an apocalyptic number.

1134567905328 is a gapful number since it is divisible by the number (18) 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 1134567905328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925328437760).

1134567905328 is an abundant number, since it is smaller than the sum of its proper divisors (2716088970192).

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

1134567905328 is a wasteful number, since it uses less digits than its factorization.

1134567905328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777408 (or 1777399 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1134567905328 in words is "one trillion, one hundred thirty-four billion, five hundred sixty-seven million, nine hundred five thousand, three hundred twenty-eight".