83328479136 has 648 divisors, whose sum is σ = 295508697120. Its totient is φ = 22649621760.

The previous prime is 83328479111. The next prime is 83328479137. The reversal of 83328479136 is 63197482338.

83328479136 is a `hidden beast` number, since 8 + 3 + 32 + 8 + 479 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

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

Its product of digits (5225472) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (83328479137) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 1412347075 + ... + 1412347133.

It is an arithmetic number, because the mean of its divisors is an integer number (456031940).

Almost surely, 2^83328479136 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 83328479136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147754348560).

83328479136 is an abundant number, since it is smaller than the sum of its proper divisors (212180217984).

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

83328479136 is an frugal number, since it uses more digits than its factorization.

83328479136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 102 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 83328479136 in words is "eighty-three billion, three hundred twenty-eight million, four hundred seventy-nine thousand, one hundred thirty-six".