16612122582 has 192 divisors, whose sum is σ = 41953167360. Its totient is φ = 4702924800.

The previous prime is 16612122581. The next prime is 16612122587. The reversal of 16612122582 is 28522121661.

16612122582 is a `hidden beast` number, since 1 + 6 + 61 + 2 + 12 + 2 + 582 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16612122581) 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, 43831269 + ... + 43831647.

It is an arithmetic number, because the mean of its divisors is an integer number (218506080).

Almost surely, 2^16612122582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16612122582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20976583680).

16612122582 is an abundant number, since it is smaller than the sum of its proper divisors (25341044778).

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

16612122582 is a wasteful number, since it uses less digits than its factorization.

16612122582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 656 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 16612122582 in words is "sixteen billion, six hundred twelve million, one hundred twenty-two thousand, five hundred eighty-two".