823692382464 has 288 divisors, whose sum is σ = 2669062394880. Its totient is φ = 220265865216.

The previous prime is 823692382451. The next prime is 823692382523. The reversal of 823692382464 is 464283296328.

It is a super-2 number, since 2×823692382464² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8429374 + ... + 8526530.

It is an arithmetic number, because the mean of its divisors is an integer number (9267577760).

Almost surely, 2^823692382464 is an apocalyptic number.

823692382464 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 823692382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334531197440).

823692382464 is an abundant number, since it is smaller than the sum of its proper divisors (1845370012416).

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

823692382464 is a wasteful number, since it uses less digits than its factorization.

823692382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97285 (or 97271 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 57.

The spelling of 823692382464 in words is "eight hundred twenty-three billion, six hundred ninety-two million, three hundred eighty-two thousand, four hundred sixty-four".