66164015125 has 32 divisors (see below), whose sum is σ = 91327882464. Its totient is φ = 47539008000.

The previous prime is 66164015123. The next prime is 66164015149. The reversal of 66164015125 is 52151046166.

It can be written as a sum of positive squares in 16 ways, for example, as 55068131556 + 11095883569 = 234666^2 + 105337^2 .

It is not a de Polignac number, because 66164015125 - 2¹ = 66164015123 is a prime.

It is a super-2 number, since 2×66164015125² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66164015123) 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 31 ways as a sum of consecutive naturals, for example, 490096 + ... + 610345.

It is an arithmetic number, because the mean of its divisors is an integer number (2853996327).

Almost surely, 2^66164015125 is an apocalyptic number.

66164015125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66164015125 is a deficient number, since it is larger than the sum of its proper divisors (25163867339).

66164015125 is a wasteful number, since it uses less digits than its factorization.

66164015125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100506 (or 1100496 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 66164015125 in words is "sixty-six billion, one hundred sixty-four million, fifteen thousand, one hundred twenty-five".