66131406652122 has 160 divisors (see below), whose sum is σ = 171762948403200. Its totient is φ = 18626484887712.

The previous prime is 66131406652117. The next prime is 66131406652141. The reversal of 66131406652122 is 22125660413166.

66131406652122 is a `hidden beast` number, since 6 + 6 + 1 + 3 + 1 + 40 + 66 + 521 + 22 = 666.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 57029779 + ... + 58177817.

It is an arithmetic number, because the mean of its divisors is an integer number (1073518427520).

Almost surely, 2^{66131406652122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66131406652122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85881474201600).

66131406652122 is an abundant number, since it is smaller than the sum of its proper divisors (105631541751078).

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

66131406652122 is a wasteful number, since it uses less digits than its factorization.

66131406652122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148782 (or 1148773 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 66131406652122 in words is "sixty-six trillion, one hundred thirty-one billion, four hundred six million, six hundred fifty-two thousand, one hundred twenty-two".