814317945480 has 192 divisors, whose sum is σ = 2850547714560. Its totient is φ = 200416909824.

The previous prime is 814317945443. The next prime is 814317945487. The reversal of 814317945480 is 84549713418.

814317945480 is a `hidden beast` number, since 8 + 1 + 4 + 3 + 1 + 7 + 94 + 548 + 0 = 666.

It is a super-2 number, since 2×814317945480² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (814317945487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55137057 + ... + 55151823.

It is an arithmetic number, because the mean of its divisors is an integer number (14846602680).

Almost surely, 2^814317945480 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 814317945480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425273857280).

814317945480 is an abundant number, since it is smaller than the sum of its proper divisors (2036229769080).

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

814317945480 is a wasteful number, since it uses less digits than its factorization.

814317945480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26580 (or 26573 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 814317945480 in words is "eight hundred fourteen billion, three hundred seventeen million, nine hundred forty-five thousand, four hundred eighty".