2166564010345 has 128 divisors (see below), whose sum is σ = 3445079040000. Its totient is φ = 1271803244544.

The previous prime is 2166564010339. The next prime is 2166564010357. The reversal of 2166564010345 is 5430104656612.

It is not a de Polignac number, because 2166564010345 - 2¹⁹ = 2166563486057 is a prime.

It is a super-2 number, since 2×2166564010345² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58665796 + ... + 58702714.

It is an arithmetic number, because the mean of its divisors is an integer number (26914680000).

Almost surely, 2^{2166564010345} is an apocalyptic number.

It is an amenable number.

2166564010345 is a deficient number, since it is larger than the sum of its proper divisors (1278515029655).

2166564010345 is a wasteful number, since it uses less digits than its factorization.

2166564010345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37175.

The product of its (nonzero) digits is 518400, while the sum is 43.

Adding to 2166564010345 its reverse (5430104656612), we get a palindrome (7596668666957).

The spelling of 2166564010345 in words is "two trillion, one hundred sixty-six billion, five hundred sixty-four million, ten thousand, three hundred forty-five".