1864541092324 has 27 divisors (see below), whose sum is σ = 3272249726683. Its totient is φ = 929620145600.

The previous prime is 1864541092321. The next prime is 1864541092361. The reversal of 1864541092324 is 4232901454681.

The square root of 1864541092324 is 1365482.

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 119288725924 + 1745252366400 = 345382^2 + 1321080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1864541092321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1258973664 + ... + 1258975144.

Almost surely, 2^{1864541092324} is an apocalyptic number.

1864541092324 is the 1365482-nd square number.

It is an amenable number.

1864541092324 is a deficient number, since it is larger than the sum of its proper divisors (1407708634359).

1864541092324 is an frugal number, since it uses more digits than its factorization.

1864541092324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 1864541092324 by its sum of digits (49), we get a square (91362513523876 = 9558374²).

The spelling of 1864541092324 in words is "one trillion, eight hundred sixty-four billion, five hundred forty-one million, ninety-two thousand, three hundred twenty-four".