816371571516480 has 448 divisors, whose sum is σ = 3291840000975360. Its totient is φ = 186574432665600.

The previous prime is 816371571516463. The next prime is 816371571516509. The reversal of 816371571516480 is 84615175173618.

816371571516480 is a `hidden beast` number, since 8 + 1 + 6 + 3 + 7 + 1 + 5 + 71 + 516 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456396660 + ... + 458181900.

Almost surely, 2^{816371571516480} is an apocalyptic number.

816371571516480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816371571516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645920000487680).

816371571516480 is an abundant number, since it is smaller than the sum of its proper divisors (2475468429458880).

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

816371571516480 is a wasteful number, since it uses less digits than its factorization.

816371571516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792835 (or 1792819 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 816371571516480 in words is "eight hundred sixteen trillion, three hundred seventy-one billion, five hundred seventy-one million, five hundred sixteen thousand, four hundred eighty".