1856438950144 has 243 divisors, whose sum is σ = 3984138750753. Its totient is φ = 863287603200.

The previous prime is 1856438950141. The next prime is 1856438950151. The reversal of 1856438950144 is 4410598346581.

The square root of 1856438950144 is 1362512.

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

It can be written as a sum of positive squares in only one way, i.e., 89453631744 + 1766985318400 = 299088^2 + 1329280^2 .

It is a super-3 number, since 3×1856438950144³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1856438950141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27708043999 + ... + 27708044065.

Almost surely, 2^{1856438950144} is an apocalyptic number.

1856438950144 is the 1362512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1856438950144

1856438950144 is an abundant number, since it is smaller than the sum of its proper divisors (2127699800609).

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

1856438950144 is an frugal number, since it uses more digits than its factorization.

1856438950144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 58.

The spelling of 1856438950144 in words is "one trillion, eight hundred fifty-six billion, four hundred thirty-eight million, nine hundred fifty thousand, one hundred forty-four".