83455140839616 has 3360 divisors, whose sum is σ = 334821162614400. Its totient is φ = 20415960907776.

The previous prime is 83455140839611. The next prime is 83455140839639. The reversal of 83455140839616 is 61693804155438.

It is a happy number.

83455140839616 is a `hidden beast` number, since 8 + 3 + 4 + 5 + 5 + 1 + 4 + 0 + 8 + 3 + 9 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (83455140839611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 609161611900 + ... + 609161612036.

It is an arithmetic number, because the mean of its divisors is an integer number (99649155540).

Almost surely, 2^{83455140839616} 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 83455140839616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167410581307200).

83455140839616 is an abundant number, since it is smaller than the sum of its proper divisors (251366021774784).

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

83455140839616 is a wasteful number, since it uses less digits than its factorization.

83455140839616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 83455140839616 in words is "eighty-three trillion, four hundred fifty-five billion, one hundred forty million, eight hundred thirty-nine thousand, six hundred sixteen".