66225169399032 has 512 divisors, whose sum is σ = 226447507200000. Its totient is φ = 17925609762144.

The previous prime is 66225169399019. The next prime is 66225169399033. The reversal of 66225169399032 is 23099396152266.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

66225169399032 is a `hidden beast` number, since 6 + 6 + 22 + 516 + 9 + 3 + 9 + 90 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 66225169399032 = 5054³ + 40432³ = 22743³ + 37905³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66225169399033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3485535231519 + ... + 3485535231537.

It is an arithmetic number, because the mean of its divisors is an integer number (442280287500).

Almost surely, 2^{66225169399032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66225169399032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113223753600000).

66225169399032 is an abundant number, since it is smaller than the sum of its proper divisors (160222337800968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66225169399032 is an frugal number, since it uses more digits than its factorization.

66225169399032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 66225169399032 in words is "sixty-six trillion, two hundred twenty-five billion, one hundred sixty-nine million, three hundred ninety-nine thousand, thirty-two".