84933976248 has 336 divisors, whose sum is σ = 273910084560. Its totient is φ = 24613839360.

The previous prime is 84933976243. The next prime is 84933976273. The reversal of 84933976248 is 84267933948.

84933976248 is a `hidden beast` number, since 8 + 493 + 39 + 76 + 2 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84933976241) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16227840 + ... + 16233072.

It is an arithmetic number, because the mean of its divisors is an integer number (815208585).

Almost surely, 2^84933976248 is an apocalyptic number.

84933976248 is a gapful number since it is divisible by the number (88) 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 84933976248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136955042280).

84933976248 is an abundant number, since it is smaller than the sum of its proper divisors (188976108312).

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

84933976248 is a wasteful number, since it uses less digits than its factorization.

84933976248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 5272 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 84933976248 in words is "eighty-four billion, nine hundred thirty-three million, nine hundred seventy-six thousand, two hundred forty-eight".