83943646225992 has 320 divisors, whose sum is σ = 277242753110400. Its totient is φ = 23230581027840.

The previous prime is 83943646225963. The next prime is 83943646226003. The reversal of 83943646225992 is 29952264634938.

83943646225992 is a `hidden beast` number, since 8 + 3 + 9 + 4 + 3 + 6 + 4 + 6 + 22 + 599 + 2 = 666.

83943646225992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83943646225992.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24227038 + ... + 27474290.

It is an arithmetic number, because the mean of its divisors is an integer number (866383603470).

Almost surely, 2^{83943646225992} is an apocalyptic number.

83943646225992 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83943646225992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138621376555200).

83943646225992 is an abundant number, since it is smaller than the sum of its proper divisors (193299106884408).

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

83943646225992 is a wasteful number, since it uses less digits than its factorization.

83943646225992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247458 (or 3247445 counting only the distinct ones).

The product of its digits is 1209323520, while the sum is 72.

The spelling of 83943646225992 in words is "eighty-three trillion, nine hundred forty-three billion, six hundred forty-six million, two hundred twenty-five thousand, nine hundred ninety-two".