83084786608626 has 256 divisors, whose sum is σ = 213482304000000. Its totient is φ = 23704906452480.

The previous prime is 83084786608567. The next prime is 83084786608639. The reversal of 83084786608626 is 62680668748038.

It is a happy number.

83084786608626 is a `hidden beast` number, since 8 + 3 + 0 + 8 + 4 + 7 + 8 + 6 + 608 + 6 + 2 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 497582200 + ... + 497749148.

It is an arithmetic number, because the mean of its divisors is an integer number (833915250000).

Almost surely, 2^{83084786608626} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83084786608626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106741152000000).

83084786608626 is an abundant number, since it is smaller than the sum of its proper divisors (130397517391374).

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

83084786608626 is a wasteful number, since it uses less digits than its factorization.

83084786608626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167566 (or 167560 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 83084786608626 in words is "eighty-three trillion, eighty-four billion, seven hundred eighty-six million, six hundred eight thousand, six hundred twenty-six".