83271415248 has 960 divisors, whose sum is σ = 308275269120. Its totient is φ = 20437401600.

The previous prime is 83271415247. The next prime is 83271415259. The reversal of 83271415248 is 84251417238.

83271415248 is a `hidden beast` number, since 83 + 2 + 7 + 1 + 41 + 524 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83271415247) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1242856911 + ... + 1242856977.

It is an arithmetic number, because the mean of its divisors is an integer number (321120072).

Almost surely, 2^83271415248 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 83271415248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154137634560).

83271415248 is an abundant number, since it is smaller than the sum of its proper divisors (225003853872).

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

83271415248 is a wasteful number, since it uses less digits than its factorization.

83271415248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 83271415248 in words is "eighty-three billion, two hundred seventy-one million, four hundred fifteen thousand, two hundred forty-eight".