82438073346816 has 540 divisors, whose sum is σ = 276784245089352. Its totient is φ = 24371905536000.

The previous prime is 82438073346803. The next prime is 82438073346829. The reversal of 82438073346816 is 61864337083428.

82438073346816 is a `hidden beast` number, since 8 + 24 + 3 + 80 + 73 + 3 + 468 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (82438073346803) and next prime (82438073346829).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 102470611 + ... + 103271981.

Almost surely, 2^{82438073346816} 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 82438073346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138392122544676).

82438073346816 is an abundant number, since it is smaller than the sum of its proper divisors (194346171742536).

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

82438073346816 is a wasteful number, since it uses less digits than its factorization.

82438073346816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801462 (or 801428 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 82438073346816 in words is "eighty-two trillion, four hundred thirty-eight billion, seventy-three million, three hundred forty-six thousand, eight hundred sixteen".