1928202019201 has 16 divisors (see below), whose sum is σ = 1960826029200. Its totient is φ = 1895849452800.

The previous prime is 1928202019199. The next prime is 1928202019259. The reversal of 1928202019201 is 1029102028291.

It can be written as a sum of positive squares in 8 ways, for example, as 489524115600 + 1438677903601 = 699660^2 + 1199449^2 .

It is a cyclic number.

It is not a de Polignac number, because 1928202019201 - 2¹ = 1928202019199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1928202019291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76391155 + ... + 76416391.

It is an arithmetic number, because the mean of its divisors is an integer number (122551626825).

Almost surely, 2^{1928202019201} is an apocalyptic number.

It is an amenable number.

1928202019201 is a deficient number, since it is larger than the sum of its proper divisors (32624009999).

1928202019201 is a wasteful number, since it uses less digits than its factorization.

1928202019201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30564.

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 1928202019201 in words is "one trillion, nine hundred twenty-eight billion, two hundred two million, nineteen thousand, two hundred one".