82354650624 has 480 divisors, whose sum is σ = 258532560000. Its totient is φ = 25157025792.

The previous prime is 82354650559. The next prime is 82354650667. The reversal of 82354650624 is 42605645328.

82354650624 is a `hidden beast` number, since 82 + 3 + 5 + 46 + 506 + 24 = 666.

It is a Cunningham number, because it is equal to 286975²-1.

It is a super-2 number, since 2×82354650624² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82354650624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 552715702 + ... + 552715850.

It is an arithmetic number, because the mean of its divisors is an integer number (538609500).

Almost surely, 2^82354650624 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 82354650624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129266280000).

82354650624 is an abundant number, since it is smaller than the sum of its proper divisors (176177909376).

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

82354650624 is a wasteful number, since it uses less digits than its factorization.

82354650624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 82354650624 in words is "eighty-two billion, three hundred fifty-four million, six hundred fifty thousand, six hundred twenty-four".