1146042624 has 144 divisors (see below), whose sum is σ = 3284789760. Its totient is φ = 353402880.

The previous prime is 1146042617. The next prime is 1146042631. The reversal of 1146042624 is 4262406411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1146042617) and next prime (1146042631).

It is a junction number, because it is equal to n+sod(n) for n = 1146042591 and 1146042600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795697 + ... + 797135.

It is an arithmetic number, because the mean of its divisors is an integer number (22811040).

Almost surely, 2^1146042624 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 1146042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642394880).

1146042624 is an abundant number, since it is smaller than the sum of its proper divisors (2138747136).

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

1146042624 is a wasteful number, since it uses less digits than its factorization.

1146042624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1146042624 is about 33853.2513061892. The cubic root of 1146042624 is about 1046.4864034742.

The spelling of 1146042624 in words is "one billion, one hundred forty-six million, forty-two thousand, six hundred twenty-four".