1134439105536 has 880 divisors, whose sum is σ = 4017522769920. Its totient is φ = 315021312000.

The previous prime is 1134439105529. The next prime is 1134439105549. The reversal of 1134439105536 is 6355019344311.

1134439105536 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 3 + 9 + 105 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1134439105491 and 1134439105500.

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 79 ways as a sum of consecutive naturals, for example, 537393121 + ... + 537395231.

It is an arithmetic number, because the mean of its divisors is an integer number (4565366784).

Almost surely, 2^{1134439105536} is an apocalyptic number.

1134439105536 is a gapful number since it is divisible by the number (16) 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 1134439105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008761384960).

1134439105536 is an abundant number, since it is smaller than the sum of its proper divisors (2883083664384).

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

1134439105536 is a wasteful number, since it uses less digits than its factorization.

1134439105536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 1134439105536 in words is "one trillion, one hundred thirty-four billion, four hundred thirty-nine million, one hundred five thousand, five hundred thirty-six".