846377920144 has 45 divisors (see below), whose sum is σ = 1653784341411. Its totient is φ = 419624926560.

The previous prime is 846377920133. The next prime is 846377920169. The reversal of 846377920144 is 441029773648.

The square root of 846377920144 is 919988.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 467352999 + ... + 467354809.

Almost surely, 2^846377920144 is an apocalyptic number.

846377920144 is the 919988-th square number.

It is an amenable number.

846377920144 is a deficient number, since it is larger than the sum of its proper divisors (807406421267).

846377920144 is an frugal number, since it uses more digits than its factorization.

846377920144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 55.

The spelling of 846377920144 in words is "eight hundred forty-six billion, three hundred seventy-seven million, nine hundred twenty thousand, one hundred forty-four".