384946254720 has 192 divisors, whose sum is σ = 1372147770240. Its totient is φ = 99340922880.

The previous prime is 384946254659. The next prime is 384946254767. The reversal of 384946254720 is 27452649483.

It is a happy number.

384946254720 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 4 + 625 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 899359 + ... + 1256478.

It is an arithmetic number, because the mean of its divisors is an integer number (7146602970).

Almost surely, 2^384946254720 is an apocalyptic number.

384946254720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384946254720 is an abundant number, since it is smaller than the sum of its proper divisors (987201515520).

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

384946254720 is a wasteful number, since it uses less digits than its factorization.

384946254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155893 (or 2155878 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 384946254720 in words is "three hundred eighty-four billion, nine hundred forty-six million, two hundred fifty-four thousand, seven hundred twenty".