1838334645904 has 135 divisors (see below), whose sum is σ = 3838086176283. Its totient is φ = 852820061184.

The previous prime is 1838334645859. The next prime is 1838334645913. The reversal of 1838334645904 is 4095464338381.

The square root of 1838334645904 is 1355852.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12377007504 + 1825957638400 = 111252^2 + 1351280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11709137794 + ... + 11709137950.

Almost surely, 2^{1838334645904} is an apocalyptic number.

1838334645904 is the 1355852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1838334645904

1838334645904 is an abundant number, since it is smaller than the sum of its proper divisors (1999751530379).

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

1838334645904 is an equidigital number, since it uses as much as digits as its factorization.

1838334645904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 58.

The spelling of 1838334645904 in words is "one trillion, eight hundred thirty-eight billion, three hundred thirty-four million, six hundred forty-five thousand, nine hundred four".