83248149600 has 576 divisors, whose sum is σ = 375380974080. Its totient is φ = 17297971200.

The previous prime is 83248149581. The next prime is 83248149601. The reversal of 83248149600 is 694184238.

It is a happy number.

83248149600 is a `hidden beast` number, since 8 + 3 + 24 + 8 + 14 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83248149601) 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 95 ways as a sum of consecutive naturals, for example, 1638174 + ... + 1688226.

It is an arithmetic number, because the mean of its divisors is an integer number (651703080).

Almost surely, 2^83248149600 is an apocalyptic number.

83248149600 is a gapful number since it is divisible by the number (80) 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 83248149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187690487040).

83248149600 is an abundant number, since it is smaller than the sum of its proper divisors (292132824480).

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

83248149600 is a wasteful number, since it uses less digits than its factorization.

83248149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50100 (or 50081 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 83248149600 in words is "eighty-three billion, two hundred forty-eight million, one hundred forty-nine thousand, six hundred".