4923407204352 has 1260 divisors, whose sum is σ = 18574885837200. Its totient is φ = 1298481020928.

The previous prime is 4923407204329. The next prime is 4923407204383. The reversal of 4923407204352 is 2534027043294.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4923407204352 is a `hidden beast` number, since 4 + 9 + 2 + 3 + 407 + 204 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4923407204298 and 4923407204307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 378723631098 + ... + 378723631110.

Almost surely, 2^{4923407204352} is an apocalyptic number.

4923407204352 is a gapful number since it is divisible by the number (42) 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 4923407204352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287442918600).

4923407204352 is an abundant number, since it is smaller than the sum of its proper divisors (13651478632848).

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

4923407204352 is an frugal number, since it uses more digits than its factorization.

4923407204352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 4923407204352 in words is "four trillion, nine hundred twenty-three billion, four hundred seven million, two hundred four thousand, three hundred fifty-two".