186513424384 has 153 divisors (see below), whose sum is σ = 435733874181. Its totient is φ = 79602647040.

The previous prime is 186513424373. The next prime is 186513424393. The reversal of 186513424384 is 483424315681.

The square root of 186513424384 is 431872.

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., 140271222784 + 46242201600 = 374528^2 + 215040^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 773914504 + ... + 773914744.

Almost surely, 2^186513424384 is an apocalyptic number.

186513424384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

186513424384 is the 431872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 186513424384

186513424384 is an abundant number, since it is smaller than the sum of its proper divisors (249220449797).

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

186513424384 is an frugal number, since it uses more digits than its factorization.

186513424384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 250 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 49.

Multiplying 186513424384 by its sum of digits (49), we get a square (9139157794816 = 3023104²).

186513424384 divided by its sum of digits (49) gives a square (3806396416 = 61696²).

The spelling of 186513424384 in words is "one hundred eighty-six billion, five hundred thirteen million, four hundred twenty-four thousand, three hundred eighty-four".