83606161408 has 576 divisors, whose sum is σ = 229904438400. Its totient is φ = 29974855680.

The previous prime is 83606161363. The next prime is 83606161417. The reversal of 83606161408 is 80416160638.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 939395028 + ... + 939395116.

It is an arithmetic number, because the mean of its divisors is an integer number (399139650).

Almost surely, 2^83606161408 is an apocalyptic number.

83606161408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83606161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114952219200).

83606161408 is an abundant number, since it is smaller than the sum of its proper divisors (146298276992).

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

83606161408 is a wasteful number, since it uses less digits than its factorization.

83606161408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 83606161408 in words is "eighty-three billion, six hundred six million, one hundred sixty-one thousand, four hundred eight".