1134414334464 has 160 divisors (see below), whose sum is σ = 3230468486784. Its totient is φ = 352874987520.

The previous prime is 1134414334463. The next prime is 1134414334513. The reversal of 1134414334464 is 4644334144311.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1134414334463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056852 + ... + 1840044.

Almost surely, 2^{1134414334464} 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 1134414334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615234243392).

1134414334464 is an abundant number, since it is smaller than the sum of its proper divisors (2096054152320).

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

1134414334464 is an equidigital number, since it uses as much as digits as its factorization.

1134414334464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783278 (or 783262 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

Adding to 1134414334464 its reverse (4644334144311), we get a palindrome (5778748478775).

The spelling of 1134414334464 in words is "one trillion, one hundred thirty-four billion, four hundred fourteen million, three hundred thirty-four thousand, four hundred sixty-four".