82214314002 has 54 divisors (see below), whose sum is σ = 188052636213. Its totient is φ = 25955115984.

The previous prime is 82214313997. The next prime is 82214314067. The reversal of 82214314002 is 20041341228.

82214314002 is a `hidden beast` number, since 8 + 221 + 4 + 31 + 400 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68063070321 + 14151243681 = 260889^2 + 118959^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202749.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23111608 + ... + 23115164.

Almost surely, 2^82214314002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82214314002

82214314002 is an abundant number, since it is smaller than the sum of its proper divisors (105838322211).

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

82214314002 is an equidigital number, since it uses as much as digits as its factorization.

82214314002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 82214314002 in words is "eighty-two billion, two hundred fourteen million, three hundred fourteen thousand, two".