1125654656 has 64 divisors (see below), whose sum is σ = 2615280000. Its totient is φ = 482404608.

The previous prime is 1125654641. The next prime is 1125654667. The reversal of 1125654656 is 6564565211.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31085 + ... + 56723.

It is an arithmetic number, because the mean of its divisors is an integer number (40863750).

Almost surely, 2^1125654656 is an apocalyptic number.

1125654656 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 1125654656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307640000).

1125654656 is an abundant number, since it is smaller than the sum of its proper divisors (1489625344).

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

1125654656 is an frugal number, since it uses more digits than its factorization.

1125654656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25674 (or 25648 counting only the distinct ones).

The product of its digits is 216000, while the sum is 41.

The square root of 1125654656 is about 33550.7772786265. Note that the first 3 decimals coincide. The cubic root of 1125654656 is about 1040.2436115706.

The spelling of 1125654656 in words is "one billion, one hundred twenty-five million, six hundred fifty-four thousand, six hundred fifty-six".