923481268416 has 504 divisors, whose sum is σ = 3202658458272. Its totient is φ = 249069772800.

The previous prime is 923481268397. The next prime is 923481268439. The reversal of 923481268416 is 614862184329.

923481268416 is a `hidden beast` number, since 92 + 3 + 4 + 81 + 2 + 68 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158861926 + ... + 158867738.

It is an arithmetic number, because the mean of its divisors is an integer number (6354481068).

Almost surely, 2^923481268416 is an apocalyptic number.

923481268416 is a gapful number since it is divisible by the number (96) 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 923481268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601329229136).

923481268416 is an abundant number, since it is smaller than the sum of its proper divisors (2279177189856).

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

923481268416 is a wasteful number, since it uses less digits than its factorization.

923481268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5897 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 923481268416 in words is "nine hundred twenty-three billion, four hundred eighty-one million, two hundred sixty-eight thousand, four hundred sixteen".