1924145348552 has 128 divisors (see below), whose sum is σ = 4350140743680. Its totient is φ = 780591168000.

The previous prime is 1924145348539. The next prime is 1924145348597. The reversal of 1924145348552 is 2558435414291.

It is a junction number, because it is equal to n+sod(n) for n = 1924145348494 and 1924145348503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15592052 + ... + 15714972.

It is an arithmetic number, because the mean of its divisors is an integer number (33985474560).

Almost surely, 2^{1924145348552} 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 1924145348552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175070371840).

1924145348552 is an abundant number, since it is smaller than the sum of its proper divisors (2425995395128).

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

1924145348552 is a wasteful number, since it uses less digits than its factorization.

1924145348552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123163 (or 123159 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 53.

The spelling of 1924145348552 in words is "one trillion, nine hundred twenty-four billion, one hundred forty-five million, three hundred forty-eight thousand, five hundred fifty-two".