66633500051712 has 324 divisors, whose sum is σ = 211429577764860. Its totient is φ = 20167542743040.

The previous prime is 66633500051687. The next prime is 66633500051719. The reversal of 66633500051712 is 21715000533666.

It can be written as a sum of positive squares in 2 ways, for example, as 22843199655936 + 43790300395776 = 4779456^2 + 6617424^2 .

It is not an unprimeable number, because it can be changed into a prime (66633500051719) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230967778 + ... + 231256094.

Almost surely, 2^{66633500051712} 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 66633500051712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105714788882430).

66633500051712 is an abundant number, since it is smaller than the sum of its proper divisors (144796077713148).

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

66633500051712 is a wasteful number, since it uses less digits than its factorization.

66633500051712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289190 (or 289162 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 66633500051712 in words is "sixty-six trillion, six hundred thirty-three billion, five hundred million, fifty-one thousand, seven hundred twelve".