131648705649 has 16 divisors (see below), whose sum is σ = 196056253440. Its totient is φ = 87306293520.

The previous prime is 131648705633. The next prime is 131648705651. The reversal of 131648705649 is 946507846131.

131648705649 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 4 + 8 + 70 + 564 + 9 = 666.

It is not a de Polignac number, because 131648705649 - 2⁴ = 131648705633 is a prime.

It is a super-2 number, since 2×131648705649² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131648705595 and 131648705604.

It is not an unprimeable number, because it can be changed into a prime (131648705659) 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, 12758922 + ... + 12769235.

It is an arithmetic number, because the mean of its divisors is an integer number (12253515840).

Almost surely, 2^131648705649 is an apocalyptic number.

It is an amenable number.

131648705649 is a deficient number, since it is larger than the sum of its proper divisors (64407547791).

131648705649 is a wasteful number, since it uses less digits than its factorization.

131648705649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25528357 (or 25528351 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 131648705649 in words is "one hundred thirty-one billion, six hundred forty-eight million, seven hundred five thousand, six hundred forty-nine".