1134406944 has 180 divisors, whose sum is σ = 3668141862. Its totient is φ = 343664640.

The previous prime is 1134406921. The next prime is 1134406981. The reversal of 1134406944 is 4496044311.

It is a happy number.

1134406944 is a `hidden beast` number, since 113 + 440 + 69 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1132995600 + 1411344 = 33660^2 + 1188^2 .

It is a super-2 number, since 2×1134406944² = 2573758229190838272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1134406899 and 1134406908.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 311824 + ... + 315440.

Almost surely, 2^1134406944 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 1134406944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834070931).

1134406944 is an abundant number, since it is smaller than the sum of its proper divisors (2533734918).

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

1134406944 is a wasteful number, since it uses less digits than its factorization.

1134406944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1134406944 is about 33680.9581811444. The cubic root of 1134406944 is about 1042.9327182467.

The spelling of 1134406944 in words is "one billion, one hundred thirty-four million, four hundred six thousand, nine hundred forty-four".