10544028582649 has 81 divisors (see below), whose sum is σ = 11897762082381. Its totient is φ = 9342460347840.

The previous prime is 10544028582643. The next prime is 10544028582673. The reversal of 10544028582649 is 94628582044501.

The square root of 10544028582649 is 3247157.

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 3824804025 + 10540203778624 = 61845^2 + 3246568^2 .

It is not a de Polignac number, because 10544028582649 - 2¹¹ = 10544028580601 is a prime.

It is a super-2 number, since 2×10544028582649² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10544028582593 and 10544028582602.

It is not an unprimeable number, because it can be changed into a prime (10544028582643) 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, 70765292427 + ... + 70765292575.

Almost surely, 2^{10544028582649} is an apocalyptic number.

10544028582649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10544028582649 is the 3247157-th square number.

10544028582649 is the 1623579-th centered octagonal number.

It is an amenable number.

10544028582649 is a deficient number, since it is larger than the sum of its proper divisors (1353733499732).

10544028582649 is an frugal number, since it uses more digits than its factorization.

10544028582649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 58.

The spelling of 10544028582649 in words is "ten trillion, five hundred forty-four billion, twenty-eight million, five hundred eighty-two thousand, six hundred forty-nine".