1986724078144 has 63 divisors (see below), whose sum is σ = 4269310413483. Its totient is φ = 916881917952.

The previous prime is 1986724078117. The next prime is 1986724078147. The reversal of 1986724078144 is 4418704276891.

It is a happy number.

The square root of 1986724078144 is 1409512.

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 16406535744 + 1970317542400 = 128088^2 + 1403680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1986724078147) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 146582472 + ... + 146596024.

Almost surely, 2^{1986724078144} is an apocalyptic number.

1986724078144 is the 1409512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1986724078144

1986724078144 is an abundant number, since it is smaller than the sum of its proper divisors (2282586335339).

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

1986724078144 is an frugal number, since it uses more digits than its factorization.

1986724078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27144 (or 13568 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 61.

The spelling of 1986724078144 in words is "one trillion, nine hundred eighty-six billion, seven hundred twenty-four million, seventy-eight thousand, one hundred forty-four".