82341479502464 has 512 divisors, whose sum is σ = 209920726794240. Its totient is φ = 31295746621440.

The previous prime is 82341479502419. The next prime is 82341479502467. The reversal of 82341479502464 is 46420597414328.

It is not an unprimeable number, because it can be changed into a prime (82341479502467) 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, 43178540999 + ... + 43178542905.

It is an arithmetic number, because the mean of its divisors is an integer number (410001419520).

It is a 1-persistent number, because it is pandigital, but 2⋅82341479502464 = 164682959004928 is not.

Almost surely, 2^{82341479502464} 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 82341479502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104960363397120).

82341479502464 is an abundant number, since it is smaller than the sum of its proper divisors (127579247291776).

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

82341479502464 is a wasteful number, since it uses less digits than its factorization.

82341479502464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 59.

The spelling of 82341479502464 in words is "eighty-two trillion, three hundred forty-one billion, four hundred seventy-nine million, five hundred two thousand, four hundred sixty-four".