623609622144 has 640 divisors, whose sum is σ = 2017057996800. Its totient is φ = 190804377600.

The previous prime is 623609622137. The next prime is 623609622149. The reversal of 623609622144 is 441226906326.

623609622144 is a `hidden beast` number, since 6 + 2 + 3 + 6 + 0 + 9 + 622 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 623609622144.

It is not an unprimeable number, because it can be changed into a prime (623609622149) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 487575297 + ... + 487576575.

It is an arithmetic number, because the mean of its divisors is an integer number (3151653120).

Almost surely, 2^623609622144 is an apocalyptic number.

623609622144 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 623609622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008528998400).

623609622144 is an abundant number, since it is smaller than the sum of its proper divisors (1393448374656).

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

623609622144 is a wasteful number, since it uses less digits than its factorization.

623609622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 623609622144 in words is "six hundred twenty-three billion, six hundred nine million, six hundred twenty-two thousand, one hundred forty-four".