82406854656 has 780 divisors, whose sum is σ = 296251006788. Its totient is φ = 22741254144.

The previous prime is 82406854643. The next prime is 82406854661. The reversal of 82406854656 is 65645860428.

82406854656 is a `hidden beast` number, since 8 + 2 + 40 + 6 + 8 + 546 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62492000256 + 19914854400 = 249984^2 + 141120^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 601509820 + ... + 601509956.

Almost surely, 2^82406854656 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 82406854656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148125503394).

82406854656 is an abundant number, since it is smaller than the sum of its proper divisors (213844152132).

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

82406854656 is a wasteful number, since it uses less digits than its factorization.

82406854656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 82406854656 in words is "eighty-two billion, four hundred six million, eight hundred fifty-four thousand, six hundred fifty-six".