122664146616 has 192 divisors, whose sum is σ = 365875211520. Its totient is φ = 36817896960.

The previous prime is 122664146557. The next prime is 122664146713. The reversal of 122664146616 is 616641466221.

122664146616 is a `hidden beast` number, since 1 + 2 + 26 + 6 + 4 + 1 + 4 + 6 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41397151 + ... + 41400113.

It is an arithmetic number, because the mean of its divisors is an integer number (1905600060).

Almost surely, 2^122664146616 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 122664146616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182937605760).

122664146616 is an abundant number, since it is smaller than the sum of its proper divisors (243211064904).

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

122664146616 is a wasteful number, since it uses less digits than its factorization.

122664146616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466 (or 3459 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 122664146616 in words is "one hundred twenty-two billion, six hundred sixty-four million, one hundred forty-six thousand, six hundred sixteen".