1125166624 has 96 divisors (see below), whose sum is σ = 2576810880. Its totient is φ = 479711232.

The previous prime is 1125166619. The next prime is 1125166631. The reversal of 1125166624 is 4266615211.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 1125166624.

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, 235362 + ... + 240094.

It is an arithmetic number, because the mean of its divisors is an integer number (26841780).

Almost surely, 2^1125166624 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 1125166624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288405440).

1125166624 is an abundant number, since it is smaller than the sum of its proper divisors (1451644256).

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

1125166624 is a wasteful number, since it uses less digits than its factorization.

1125166624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802 (or 4794 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 1125166624 is about 33543.5034544694. The cubic root of 1125166624 is about 1040.0932559374.

The spelling of 1125166624 in words is "one billion, one hundred twenty-five million, one hundred sixty-six thousand, six hundred twenty-four".