66402626254146 has 192 divisors, whose sum is σ = 185026759077888. Its totient is φ = 16728306655104.

The previous prime is 66402626254117. The next prime is 66402626254147. The reversal of 66402626254146 is 64145262620466.

66402626254146 is a `hidden beast` number, since 6 + 6 + 4 + 0 + 2 + 6 + 2 + 625 + 4 + 1 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66402626254092 and 66402626254101.

It is not an unprimeable number, because it can be changed into a prime (66402626254147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26176785 + ... + 28601211.

It is an arithmetic number, because the mean of its divisors is an integer number (963681036864).

Almost surely, 2^{66402626254146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66402626254146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92513379538944).

66402626254146 is an abundant number, since it is smaller than the sum of its proper divisors (118624132823742).

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

66402626254146 is a wasteful number, since it uses less digits than its factorization.

66402626254146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425205 (or 2425202 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 66402626254146 in words is "sixty-six trillion, four hundred two billion, six hundred twenty-six million, two hundred fifty-four thousand, one hundred forty-six".