623881396224 has 336 divisors, whose sum is σ = 1835538213600. Its totient is φ = 204151062528.

The previous prime is 623881396219. The next prime is 623881396279. The reversal of 623881396224 is 422693188326.

623881396224 is a `hidden beast` number, since 6 + 2 + 3 + 8 + 8 + 1 + 3 + 9 + 622 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1646124867 + ... + 1646125245.

It is an arithmetic number, because the mean of its divisors is an integer number (5462911350).

Almost surely, 2^623881396224 is an apocalyptic number.

623881396224 is a gapful number since it is divisible by the number (64) 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 623881396224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917769106800).

623881396224 is an abundant number, since it is smaller than the sum of its proper divisors (1211656817376).

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

623881396224 is a wasteful number, since it uses less digits than its factorization.

623881396224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 736 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 623881396224 in words is "six hundred twenty-three billion, eight hundred eighty-one million, three hundred ninety-six thousand, two hundred twenty-four".