1006934367649 has 16 divisors (see below), whose sum is σ = 1155752091648. Its totient is φ = 859365085392.

The previous prime is 1006934367643. The next prime is 1006934367667. The reversal of 1006934367649 is 9467634396001.

It is a cyclic number.

It is not a de Polignac number, because 1006934367649 - 2¹¹ = 1006934365601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006934367593 and 1006934367602.

It is not an unprimeable number, because it can be changed into a prime (1006934367643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1787712 + ... + 2282494.

It is an arithmetic number, because the mean of its divisors is an integer number (72234505728).

Almost surely, 2^{1006934367649} is an apocalyptic number.

It is an amenable number.

1006934367649 is a deficient number, since it is larger than the sum of its proper divisors (148817723999).

1006934367649 is an equidigital number, since it uses as much as digits as its factorization.

1006934367649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496044.

The product of its (nonzero) digits is 17635968, while the sum is 58.

The spelling of 1006934367649 in words is "one trillion, six billion, nine hundred thirty-four million, three hundred sixty-seven thousand, six hundred forty-nine".