82314485376552 has 1280 divisors, whose sum is σ = 287583926112000. Its totient is φ = 21813187144320.

The previous prime is 82314485376551. The next prime is 82314485376589. The reversal of 82314485376552 is 25567358441328.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

82314485376552 is a `hidden beast` number, since 8 + 2 + 3 + 1 + 4 + 4 + 8 + 5 + 3 + 76 + 552 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 82314485376552 = 5434³ + 43472³ = 24453³ + 40755³.

Its product of digits (193536000) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 82314485376552.

It is not an unprimeable number, because it can be changed into a prime (82314485376551) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4332341335599 + ... + 4332341335617.

It is an arithmetic number, because the mean of its divisors is an integer number (224674942275).

Almost surely, 2^{82314485376552} 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 82314485376552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143791963056000).

82314485376552 is an abundant number, since it is smaller than the sum of its proper divisors (205269440735448).

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

82314485376552 is an frugal number, since it uses more digits than its factorization.

82314485376552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 48 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 63.

The spelling of 82314485376552 in words is "eighty-two trillion, three hundred fourteen billion, four hundred eighty-five million, three hundred seventy-six thousand, five hundred fifty-two".