83694962016 has 336 divisors, whose sum is σ = 259097136480. Its totient is φ = 26550374400.

The previous prime is 83694961997. The next prime is 83694962051. The reversal of 83694962016 is 61026949638.

83694962016 is a `hidden beast` number, since 8 + 3 + 6 + 9 + 4 + 9 + 620 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 208715416 + ... + 208715816.

It is an arithmetic number, because the mean of its divisors is an integer number (771122430).

Almost surely, 2^83694962016 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 83694962016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548568240).

83694962016 is an abundant number, since it is smaller than the sum of its proper divisors (175402174464).

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

83694962016 is a wasteful number, since it uses less digits than its factorization.

83694962016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 83694962016 in words is "eighty-three billion, six hundred ninety-four million, nine hundred sixty-two thousand, sixteen".