1064416216131 has 24 divisors (see below), whose sum is σ = 1558003399680. Its totient is φ = 700155261936.

The previous prime is 1064416216111. The next prime is 1064416216139. The reversal of 1064416216131 is 1316126144601.

1064416216131 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 4 + 16 + 21 + 613 + 1 = 666.

It is not a de Polignac number, because 1064416216131 - 2⁶ = 1064416216067 is a prime.

It is a super-2 number, since 2×1064416216131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064416216139) 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 23 ways as a sum of consecutive naturals, for example, 549670 + ... + 1559156.

It is an arithmetic number, because the mean of its divisors is an integer number (64916808320).

Almost surely, 2^{1064416216131} is an apocalyptic number.

1064416216131 is a deficient number, since it is larger than the sum of its proper divisors (493587183549).

1064416216131 is a wasteful number, since it uses less digits than its factorization.

1064416216131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011055 (or 1011052 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1064416216131 in words is "one trillion, sixty-four billion, four hundred sixteen million, two hundred sixteen thousand, one hundred thirty-one".