6166148147929 has 135 divisors (see below), whose sum is σ = 8430381183903. Its totient is φ = 4505469091200.

The previous prime is 6166148147909. The next prime is 6166148147993. The reversal of 6166148147929 is 9297418416616.

The square root of 6166148147929 is 2483173.

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., 4800634371225 + 1365513776704 = 2191035^2 + 1168552^2 .

It is not a de Polignac number, because 6166148147929 - 2⁹ = 6166148147417 is a prime.

It is a super-3 number, since 3×6166148147929³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6166148147909) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 22753314064 + ... + 22753314334.

Almost surely, 2^{6166148147929} is an apocalyptic number.

6166148147929 is the 2483173-rd square number.

6166148147929 is the 1241587-th centered octagonal number.

It is an amenable number.

6166148147929 is a deficient number, since it is larger than the sum of its proper divisors (2264233035974).

6166148147929 is an frugal number, since it uses more digits than its factorization.

6166148147929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 306 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 64.

Multiplying 6166148147929 by its sum of digits (64), we get a square (394633481467456 = 19865384²).

The spelling of 6166148147929 in words is "six trillion, one hundred sixty-six billion, one hundred forty-eight million, one hundred forty-seven thousand, nine hundred twenty-nine".