924160849920 has 1152 divisors, whose sum is σ = 4123118039040. Its totient is φ = 185794560000.

The previous prime is 924160849903. The next prime is 924160849933. The reversal of 924160849920 is 29948061429.

924160849920 is a `hidden beast` number, since 9 + 2 + 4 + 1 + 608 + 4 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 219983820 + ... + 219988020.

It is an arithmetic number, because the mean of its divisors is an integer number (3579095520).

Almost surely, 2^924160849920 is an apocalyptic number.

924160849920 is a gapful number since it is divisible by the number (90) 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 924160849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061559019520).

924160849920 is an abundant number, since it is smaller than the sum of its proper divisors (3198957189120).

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

924160849920 is a wasteful number, since it uses less digits than its factorization.

924160849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 924160849920 in words is "nine hundred twenty-four billion, one hundred sixty million, eight hundred forty-nine thousand, nine hundred twenty".