82488681450 has 384 divisors, whose sum is σ = 277567948800. Its totient is φ = 17593044480.

The previous prime is 82488681433. The next prime is 82488681461. The reversal of 82488681450 is 5418688428.

82488681450 is a `hidden beast` number, since 82 + 488 + 6 + 81 + 4 + 5 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12026422 + ... + 12033278.

It is an arithmetic number, because the mean of its divisors is an integer number (722833200).

Almost surely, 2^82488681450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82488681450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138783974400).

82488681450 is an abundant number, since it is smaller than the sum of its proper divisors (195079267350).

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

82488681450 is a wasteful number, since it uses less digits than its factorization.

82488681450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6971 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 82488681450 in words is "eighty-two billion, four hundred eighty-eight million, six hundred eighty-one thousand, four hundred fifty".