83693982347136 has 384 divisors, whose sum is σ = 287383080441600. Its totient is φ = 23909166296064.

The previous prime is 83693982347093. The next prime is 83693982347191. The reversal of 83693982347136 is 63174328939638.

83693982347136 is a `hidden beast` number, since 8 + 3 + 69 + 3 + 98 + 2 + 3 + 471 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×83693982347136² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1342358715 + ... + 1342421061.

It is an arithmetic number, because the mean of its divisors is an integer number (748393438650).

Almost surely, 2^{83693982347136} 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 83693982347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143691540220800).

83693982347136 is an abundant number, since it is smaller than the sum of its proper divisors (203689098094464).

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

83693982347136 is a wasteful number, since it uses less digits than its factorization.

83693982347136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70311 (or 70286 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 83693982347136 in words is "eighty-three trillion, six hundred ninety-three billion, nine hundred eighty-two million, three hundred forty-seven thousand, one hundred thirty-six".