818971582464 has 896 divisors, whose sum is σ = 2906978549760. Its totient is φ = 222953472000.

The previous prime is 818971582463. The next prime is 818971582469. The reversal of 818971582464 is 464285179818.

818971582464 is a `hidden beast` number, since 8 + 1 + 8 + 9 + 7 + 1 + 582 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×818971582464² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (818971582463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5423652789 + ... + 5423652939.

Almost surely, 2^818971582464 is an apocalyptic number.

818971582464 is a gapful number since it is divisible by the number (84) 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 818971582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453489274880).

818971582464 is an abundant number, since it is smaller than the sum of its proper divisors (2088006967296).

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

818971582464 is a wasteful number, since it uses less digits than its factorization.

818971582464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 307 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 818971582464 in words is "eight hundred eighteen billion, nine hundred seventy-one million, five hundred eighty-two thousand, four hundred sixty-four".