186839948061481 has 81 divisors (see below), whose sum is σ = 226232139951909. Its totient is φ = 154120043563200.

The previous prime is 186839948061457. The next prime is 186839948061511. The reversal of 186839948061481 is 184160849938681.

The square root of 186839948061481 is 13668941.

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 131391313386025 + 55448634675456 = 11462605^2 + 7446384^2 .

It is not a de Polignac number, because 186839948061481 - 2⁷ = 186839948061353 is a prime.

It is a super-3 number, since 3×186839948061481³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 186839948061398 and 186839948061407.

It is not an unprimeable number, because it can be changed into a prime (186839948061451) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 119234171560 + ... + 119234173126.

Almost surely, 2^{186839948061481} is an apocalyptic number.

186839948061481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

186839948061481 is the 13668941-st square number.

186839948061481 is the 6834471-st centered octagonal number.

It is an amenable number.

186839948061481 is a deficient number, since it is larger than the sum of its proper divisors (39392191890428).

186839948061481 is an frugal number, since it uses more digits than its factorization.

186839948061481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 76.

The spelling of 186839948061481 in words is "one hundred eighty-six trillion, eight hundred thirty-nine billion, nine hundred forty-eight million, sixty-one thousand, four hundred eighty-one".