1855305513216 has 243 divisors, whose sum is σ = 5560053629403. Its totient is φ = 617846745600.

The previous prime is 1855305513209. The next prime is 1855305513301. The reversal of 1855305513216 is 6123155035581.

The square root of 1855305513216 is 1362096.

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

1855305513216 is a `hidden beast` number, since 1 + 8 + 5 + 53 + 0 + 551 + 32 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (243).

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, 1765275891 + ... + 1765276941.

Almost surely, 2^{1855305513216} is an apocalyptic number.

1855305513216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1855305513216 is the 1362096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1855305513216

1855305513216 is an abundant number, since it is smaller than the sum of its proper divisors (3704748116187).

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

1855305513216 is an frugal number, since it uses more digits than its factorization.

1855305513216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

It can be divided in two parts, 1855305 and 513216, that added together give a square (2368521 = 1539²).

The spelling of 1855305513216 in words is "one trillion, eight hundred fifty-five billion, three hundred five million, five hundred thirteen thousand, two hundred sixteen".