83192087643392 has 432 divisors, whose sum is σ = 214863956665344. Its totient is φ = 31831252992000.

The previous prime is 83192087643377. The next prime is 83192087643409. The reversal of 83192087643392 is 29334678029138.

It is a super-2 number, since 2×83192087643392² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11682637592 + ... + 11682644712.

Almost surely, 2^{83192087643392} 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 83192087643392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107431978332672).

83192087643392 is an abundant number, since it is smaller than the sum of its proper divisors (131671869021952).

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

83192087643392 is a wasteful number, since it uses less digits than its factorization.

83192087643392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9506 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 65.

The spelling of 83192087643392 in words is "eighty-three trillion, one hundred ninety-two billion, eighty-seven million, six hundred forty-three thousand, three hundred ninety-two".