82715406465222 has 128 divisors (see below), whose sum is σ = 196034889254400. Its totient is φ = 25778125283328.

The previous prime is 82715406465193. The next prime is 82715406465229. The reversal of 82715406465222 is 22256460451728.

82715406465222 is a `hidden beast` number, since 8 + 2 + 7 + 1 + 5 + 406 + 4 + 6 + 5 + 222 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82715406465229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33954033 + ... + 36308499.

It is an arithmetic number, because the mean of its divisors is an integer number (1531522572300).

Almost surely, 2^{82715406465222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82715406465222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98017444627200).

82715406465222 is an abundant number, since it is smaller than the sum of its proper divisors (113319482789178).

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

82715406465222 is a wasteful number, since it uses less digits than its factorization.

82715406465222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354947 (or 2354941 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 82715406465222 in words is "eighty-two trillion, seven hundred fifteen billion, four hundred six million, four hundred sixty-five thousand, two hundred twenty-two".