1824145116528 has 320 divisors, whose sum is σ = 5826667069440. Its totient is φ = 480157756416.

The previous prime is 1824145116503. The next prime is 1824145116551. The reversal of 1824145116528 is 8256115414281.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47088175 + ... + 47126897.

It is an arithmetic number, because the mean of its divisors is an integer number (18208334592).

Almost surely, 2^{1824145116528} 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 1824145116528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913333534720).

1824145116528 is an abundant number, since it is smaller than the sum of its proper divisors (4002521952912).

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

1824145116528 is a wasteful number, since it uses less digits than its factorization.

1824145116528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38964 (or 38958 counting only the distinct ones).

The product of its digits is 614400, while the sum is 48.

The spelling of 1824145116528 in words is "one trillion, eight hundred twenty-four billion, one hundred forty-five million, one hundred sixteen thousand, five hundred twenty-eight".