83508440345568 has 480 divisors, whose sum is σ = 285075191681280. Its totient is φ = 23488084408320.

The previous prime is 83508440345567. The next prime is 83508440345633. The reversal of 83508440345568 is 86554304480538.

83508440345568 is a `hidden beast` number, since 8 + 3 + 5 + 0 + 8 + 4 + 40 + 34 + 556 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83508440345567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 423073843 + ... + 423271181.

It is an arithmetic number, because the mean of its divisors is an integer number (593906649336).

Almost surely, 2^{83508440345568} 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 83508440345568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142537595840640).

83508440345568 is an abundant number, since it is smaller than the sum of its proper divisors (201566751335712).

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

83508440345568 is a wasteful number, since it uses less digits than its factorization.

83508440345568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197732 (or 197715 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 63.

The spelling of 83508440345568 in words is "eighty-three trillion, five hundred eight billion, four hundred forty million, three hundred forty-five thousand, five hundred sixty-eight".