1146073643624 has 128 divisors (see below), whose sum is σ = 2685910026240. Its totient is φ = 446393970432.

The previous prime is 1146073643593. The next prime is 1146073643641. The reversal of 1146073643624 is 4263463706411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12651917 + ... + 12742179.

It is an arithmetic number, because the mean of its divisors is an integer number (20983672080).

Almost surely, 2^{1146073643624} is an apocalyptic number.

1146073643624 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 1146073643624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342955013120).

1146073643624 is an abundant number, since it is smaller than the sum of its proper divisors (1539836382616).

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

1146073643624 is a wasteful number, since it uses less digits than its factorization.

1146073643624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90559 (or 90555 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 47.

The spelling of 1146073643624 in words is "one trillion, one hundred forty-six billion, seventy-three million, six hundred forty-three thousand, six hundred twenty-four".