1623824464416 has 576 divisors, whose sum is σ = 5640555110400. Its totient is φ = 408135974400.

The previous prime is 1623824464393. The next prime is 1623824464417. The reversal of 1623824464416 is 6144644283261.

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

It is not an unprimeable number, because it can be changed into a prime (1623824464417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123506355 + ... + 123519501.

It is an arithmetic number, because the mean of its divisors is an integer number (9792630400).

Almost surely, 2^{1623824464416} is an apocalyptic number.

1623824464416 is a gapful number since it is divisible by the number (16) 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 1623824464416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820277555200).

1623824464416 is an abundant number, since it is smaller than the sum of its proper divisors (4016730645984).

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

1623824464416 is a wasteful number, since it uses less digits than its factorization.

1623824464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13234 (or 13201 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 51.

The spelling of 1623824464416 in words is "one trillion, six hundred twenty-three billion, eight hundred twenty-four million, four hundred sixty-four thousand, four hundred sixteen".