10342057832649 has 45 divisors (see below), whose sum is σ = 16412264546007. Its totient is φ = 6488825599296.

The previous prime is 10342057832627. The next prime is 10342057832651. The reversal of 10342057832649 is 94623875024301.

The square root of 10342057832649 is 3215907.

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

10342057832649 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 0 + 578 + 3 + 2 + 64 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8051775129225 + 2290282703424 = 2837565^2 + 1513368^2 .

It is not a de Polignac number, because 10342057832649 - 2⁹ = 10342057832137 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10342057832595 and 10342057832604.

It is not an unprimeable number, because it can be changed into a prime (10342057812649) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 492023262 + ... + 492044280.

It is a 1-persistent number, because it is pandigital, but 2⋅10342057832649 = 20684115665298 is not.

Almost surely, 2^{10342057832649} is an apocalyptic number.

10342057832649 is the 3215907-th square number.

10342057832649 is the 1607954-th centered octagonal number.

It is an amenable number.

10342057832649 is a deficient number, since it is larger than the sum of its proper divisors (6070206713358).

10342057832649 is an frugal number, since it uses more digits than its factorization.

10342057832649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42084 (or 21039 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 10342057832649 in words is "ten trillion, three hundred forty-two billion, fifty-seven million, eight hundred thirty-two thousand, six hundred forty-nine".