1124528790528 has 1584 divisors, whose sum is σ = 4245416753760. Its totient is φ = 296050360320.

The previous prime is 1124528790449. The next prime is 1124528790529. The reversal of 1124528790528 is 8250978254211.

It is a happy number.

1124528790528 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 5 + 28 + 7 + 90 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124528790529) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66148752376 + ... + 66148752392.

Almost surely, 2^{1124528790528} is an apocalyptic number.

1124528790528 is a gapful number since it is divisible by the number (18) 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 1124528790528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122708376880).

1124528790528 is an abundant number, since it is smaller than the sum of its proper divisors (3120887963232).

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

1124528790528 is an equidigital number, since it uses as much as digits as its factorization.

1124528790528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1124528790528 in words is "one trillion, one hundred twenty-four billion, five hundred twenty-eight million, seven hundred ninety thousand, five hundred twenty-eight".