1125626544 has 240 divisors, whose sum is σ = 3802256640. Its totient is φ = 315705600.

The previous prime is 1125626531. The next prime is 1125626549. The reversal of 1125626544 is 4456265211.

1125626544 is a `hidden beast` number, since 1 + 1 + 25 + 626 + 5 + 4 + 4 = 666.

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 = 1125626499 and 1125626508.

It is not an unprimeable number, because it can be changed into a prime (1125626549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1605394 + ... + 1606094.

It is an arithmetic number, because the mean of its divisors is an integer number (15842736).

Almost surely, 2^1125626544 is an apocalyptic number.

1125626544 is a gapful number since it is divisible by the number (14) 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 1125626544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901128320).

1125626544 is an abundant number, since it is smaller than the sum of its proper divisors (2676630096).

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

1125626544 is an equidigital number, since it uses as much as digits as its factorization.

1125626544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 772 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1125626544 is about 33550.3583289359. The cubic root of 1125626544 is about 1040.2349518478.

The spelling of 1125626544 in words is "one billion, one hundred twenty-five million, six hundred twenty-six thousand, five hundred forty-four".