27701232134416 has 75 divisors (see below), whose sum is σ = 54611580016903. Its totient is φ = 13612098550880.

The previous prime is 27701232134371. The next prime is 27701232134431. The reversal of 27701232134416 is 61443123210772.

The square root of 27701232134416 is 5263196.

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

It is a super-2 number, since 2×27701232134416² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 145032628881 + ... + 145032629071.

Almost surely, 2^{27701232134416} is an apocalyptic number.

27701232134416 is the 5263196-th square number.

It is an amenable number.

27701232134416 is a deficient number, since it is larger than the sum of its proper divisors (26910347882487).

27701232134416 is an frugal number, since it uses more digits than its factorization.

27701232134416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 27701232134416 in words is "twenty-seven trillion, seven hundred one billion, two hundred thirty-two million, one hundred thirty-four thousand, four hundred sixteen".