2301006846649 has 27 divisors (see below), whose sum is σ = 2697807144357. Its totient is φ = 1956846435768.

The previous prime is 2301006846617. The next prime is 2301006846653. The reversal of 2301006846649 is 9466486001032.

The square root of 2301006846649 is 1516907.

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

It is not a de Polignac number, because 2301006846649 - 2⁵ = 2301006846617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2301006846049) 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 26 ways as a sum of consecutive naturals, for example, 1475949732 + ... + 1475951290.

Almost surely, 2^{2301006846649} is an apocalyptic number.

2301006846649 is the 1516907-th square number.

2301006846649 is the 758454-th centered octagonal number.

It is an amenable number.

2301006846649 is a deficient number, since it is larger than the sum of its proper divisors (396800297708).

2301006846649 is an frugal number, since it uses more digits than its factorization.

2301006846649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 2301006846649 by its sum of digits (49), we get a square (112749335485801 = 10618349²).

2301006846649 divided by its sum of digits (49) gives a square (46959323401 = 216701²).

The spelling of 2301006846649 in words is "two trillion, three hundred one billion, six million, eight hundred forty-six thousand, six hundred forty-nine".