82193110825248 has 192 divisors, whose sum is σ = 246030966397440. Its totient is φ = 26680053196800.

The previous prime is 82193110825183. The next prime is 82193110825249. The reversal of 82193110825248 is 84252801139128.

It is a happy number.

82193110825248 is a `hidden beast` number, since 8 + 2 + 1 + 9 + 3 + 1 + 108 + 2 + 524 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82193110825194 and 82193110825203.

It is not an unprimeable number, because it can be changed into a prime (82193110825249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17019961 + ... + 21308807.

It is an arithmetic number, because the mean of its divisors is an integer number (1281411283320).

Almost surely, 2^{82193110825248} 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 82193110825248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123015483198720).

82193110825248 is an abundant number, since it is smaller than the sum of its proper divisors (163837855572192).

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

82193110825248 is a wasteful number, since it uses less digits than its factorization.

82193110825248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289448 (or 4289434 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 82193110825248 in words is "eighty-two trillion, one hundred ninety-three billion, one hundred ten million, eight hundred twenty-five thousand, two hundred forty-eight".