4933923496128 has 112 divisors (see below), whose sum is σ = 15823441576320. Its totient is φ = 1495128326400.

The previous prime is 4933923496127. The next prime is 4933923496129. The reversal of 4933923496128 is 8216943293394.

4933923496128 is a `hidden beast` number, since 4 + 9 + 3 + 3 + 9 + 2 + 3 + 4 + 9 + 612 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4933923496127) and next prime (4933923496129).

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 (4933923496127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 129766438 + ... + 129804453.

It is an arithmetic number, because the mean of its divisors is an integer number (141280728360).

Almost surely, 2^{4933923496128} is an apocalyptic number.

4933923496128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4933923496128 is an abundant number, since it is smaller than the sum of its proper divisors (10889518080192).

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

4933923496128 is a wasteful number, since it uses less digits than its factorization.

4933923496128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259570923 (or 259570907 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 4933923496128 in words is "four trillion, nine hundred thirty-three billion, nine hundred twenty-three million, four hundred ninety-six thousand, one hundred twenty-eight".