66233342554100 has 72 divisors (see below), whose sum is σ = 147613074767928. Its totient is φ = 25776912268800.

The previous prime is 66233342554091. The next prime is 66233342554103. The reversal of 66233342554100 is 145524333266.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3982315589476 + 62251026964624 = 1995574^2 + 7889932^2 .

It is a super-2 number, since 2×66233342554100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66233342554103) 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 23 ways as a sum of consecutive naturals, for example, 434351870 + ... + 434504330.

It is an arithmetic number, because the mean of its divisors is an integer number (2050181593999).

Almost surely, 2^{66233342554100} is an apocalyptic number.

It is an amenable number.

66233342554100 is an abundant number, since it is smaller than the sum of its proper divisors (81379732213828).

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

66233342554100 is a wasteful number, since it uses less digits than its factorization.

66233342554100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269925 (or 269918 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

Adding to 66233342554100 its reverse (145524333266), we get a palindrome (66378866887366).

The spelling of 66233342554100 in words is "sixty-six trillion, two hundred thirty-three billion, three hundred forty-two million, five hundred fifty-four thousand, one hundred".