1127144656 has 80 divisors (see below), whose sum is σ = 2434094208. Its totient is φ = 501350400.

The previous prime is 1127144639. The next prime is 1127144677. The reversal of 1127144656 is 6564417211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758096 + ... + 1758736.

Almost surely, 2^1127144656 is an apocalyptic number.

1127144656 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 1127144656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217047104).

1127144656 is an abundant number, since it is smaller than the sum of its proper divisors (1306949552).

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

1127144656 is a wasteful number, since it uses less digits than its factorization.

1127144656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 1127144656 is about 33572.9750841358. The cubic root of 1127144656 is about 1040.7023904075.

It can be divided in two parts, 112714 and 4656, that added together give a triangular number (117370 = T₄₈₄).

The spelling of 1127144656 in words is "one billion, one hundred twenty-seven million, one hundred forty-four thousand, six hundred fifty-six".