82606148352 has 360 divisors, whose sum is σ = 303165802016. Its totient is φ = 21785739264.

The previous prime is 82606148321. The next prime is 82606148381. The reversal of 82606148352 is 25384160628.

82606148352 is a `hidden beast` number, since 8 + 2 + 60 + 61 + 483 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82606148298 and 82606148307.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1865088 + ... + 1908864.

Almost surely, 2^82606148352 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 82606148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151582901008).

82606148352 is an abundant number, since it is smaller than the sum of its proper divisors (220559653664).

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

82606148352 is a wasteful number, since it uses less digits than its factorization.

82606148352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43825 (or 43802 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 82606148352 in words is "eighty-two billion, six hundred six million, one hundred forty-eight thousand, three hundred fifty-two".