83864033616 has 160 divisors (see below), whose sum is σ = 250577712000. Its totient is φ = 23886807040.

The previous prime is 83864033597. The next prime is 83864033651. The reversal of 83864033616 is 61633046838.

It is a happy number.

It is a super-2 number, since 2×83864033616² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7255810 + ... + 7267358.

It is an arithmetic number, because the mean of its divisors is an integer number (1566110700).

Almost surely, 2^83864033616 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 83864033616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125288856000).

83864033616 is an abundant number, since it is smaller than the sum of its proper divisors (166713678384).

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

83864033616 is a wasteful number, since it uses less digits than its factorization.

83864033616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12397 (or 12391 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 83864033616 in words is "eighty-three billion, eight hundred sixty-four million, thirty-three thousand, six hundred sixteen".