1842572204352 has 1344 divisors, whose sum is σ = 6574256559360. Its totient is φ = 507617280000.

The previous prime is 1842572204323. The next prime is 1842572204357. The reversal of 1842572204352 is 2534022752481.

1842572204352 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 572 + 20 + 4 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1842572204298 and 1842572204307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1842572204357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18243289102 + ... + 18243289202.

It is an arithmetic number, because the mean of its divisors is an integer number (4891559940).

Almost surely, 2^{1842572204352} is an apocalyptic number.

1842572204352 is a gapful number since it is divisible by the number (12) 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 1842572204352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287128279680).

1842572204352 is an abundant number, since it is smaller than the sum of its proper divisors (4731684355008).

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

1842572204352 is a wasteful number, since it uses less digits than its factorization.

1842572204352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 1842572204352 in words is "one trillion, eight hundred forty-two billion, five hundred seventy-two million, two hundred four thousand, three hundred fifty-two".