10185161649 has 32 divisors (see below), whose sum is σ = 14953075200. Its totient is φ = 6127429632.

The previous prime is 10185161629. The next prime is 10185161671. The reversal of 10185161649 is 94616158101.

It is a happy number.

It is not a de Polignac number, because 10185161649 - 2¹⁹ = 10184637361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10185161649.

It is not an unprimeable number, because it can be changed into a prime (10185161629) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1920169 + ... + 1925465.

It is an arithmetic number, because the mean of its divisors is an integer number (467283600).

Almost surely, 2^10185161649 is an apocalyptic number.

It is an amenable number.

10185161649 is a deficient number, since it is larger than the sum of its proper divisors (4767913551).

10185161649 is a wasteful number, since it uses less digits than its factorization.

10185161649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409.

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 10185161649 in words is "ten billion, one hundred eighty-five million, one hundred sixty-one thousand, six hundred forty-nine".