623013404100 has 144 divisors (see below), whose sum is σ = 1912377600000. Its totient is φ = 156056299520.

The previous prime is 623013404093. The next prime is 623013404113. The reversal of 623013404100 is 1404310326.

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 47 ways as a sum of consecutive naturals, for example, 2475901 + ... + 2715899.

It is an arithmetic number, because the mean of its divisors is an integer number (13280400000).

Almost surely, 2^623013404100 is an apocalyptic number.

623013404100 is a gapful number since it is divisible by the number (60) 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 623013404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956188800000).

623013404100 is an abundant number, since it is smaller than the sum of its proper divisors (1289364195900).

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

623013404100 is a wasteful number, since it uses less digits than its factorization.

623013404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240542 (or 240535 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 623013404100 its reverse (1404310326), we get a palindrome (624417714426).

The spelling of 623013404100 in words is "six hundred twenty-three billion, thirteen million, four hundred four thousand, one hundred".