816623490432 has 256 divisors, whose sum is σ = 2222548992000. Its totient is φ = 265610741760.

The previous prime is 816623490383. The next prime is 816623490437. The reversal of 816623490432 is 234094326618.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816623490437) 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 31 ways as a sum of consecutive naturals, for example, 1181799207 + ... + 1181799897.

It is an arithmetic number, because the mean of its divisors is an integer number (8681832000).

Almost surely, 2^816623490432 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 816623490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111274496000).

816623490432 is an abundant number, since it is smaller than the sum of its proper divisors (1405925501568).

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

816623490432 is a wasteful number, since it uses less digits than its factorization.

816623490432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 816623490432 in words is "eight hundred sixteen billion, six hundred twenty-three million, four hundred ninety thousand, four hundred thirty-two".