1866087138304 has 33 divisors (see below), whose sum is σ = 3730439312317. Its totient is φ = 933021712384.

The previous prime is 1866087138283. The next prime is 1866087138337. The reversal of 1866087138304 is 4038317806681.

The square root of 1866087138304 is 1366048.

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., 679556219904 + 1186530918400 = 824352^2 + 1089280^2 .

It is a super-2 number, since 2×1866087138304² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 43692192 + ... + 43734880.

Almost surely, 2^{1866087138304} is an apocalyptic number.

1866087138304 is the 1366048-th square number.

It is an amenable number.

1866087138304 is a deficient number, since it is larger than the sum of its proper divisors (1864352174013).

1866087138304 is an frugal number, since it uses more digits than its factorization.

1866087138304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85398 (or 42691 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 1866087138304 in words is "one trillion, eight hundred sixty-six billion, eighty-seven million, one hundred thirty-eight thousand, three hundred four".