16564713350157 has 72 divisors (see below), whose sum is σ = 28237753337976. Its totient is φ = 9328192118784.

The previous prime is 16564713350147. The next prime is 16564713350183. The reversal of 16564713350157 is 75105331746561.

16564713350157 is a `hidden beast` number, since 1 + 6 + 5 + 64 + 71 + 3 + 3 + 501 + 5 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 271429538121 + 16293283812036 = 520989^2 + 4036494^2 .

It is not a de Polignac number, because 16564713350157 - 2⁸ = 16564713349901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16564713350147) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38967483 + ... + 39390279.

It is an arithmetic number, because the mean of its divisors is an integer number (392191018583).

Almost surely, 2^{16564713350157} is an apocalyptic number.

It is an amenable number.

16564713350157 is a deficient number, since it is larger than the sum of its proper divisors (11673039987819).

16564713350157 is a wasteful number, since it uses less digits than its factorization.

16564713350157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424107 (or 424097 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 16564713350157 in words is "sixteen trillion, five hundred sixty-four billion, seven hundred thirteen million, three hundred fifty thousand, one hundred fifty-seven".