54304646000 has 320 divisors, whose sum is σ = 151421736960. Its totient is φ = 18650240000.

The previous prime is 54304645951. The next prime is 54304646003. The reversal of 54304646000 is 64640345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54304646003) 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 63 ways as a sum of consecutive naturals, for example, 29985095 + ... + 29986905.

It is an arithmetic number, because the mean of its divisors is an integer number (473192928).

Almost surely, 2^54304646000 is an apocalyptic number.

54304646000 is a gapful number since it is divisible by the number (50) 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 54304646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75710868480).

54304646000 is an abundant number, since it is smaller than the sum of its proper divisors (97117090960).

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

54304646000 is a wasteful number, since it uses less digits than its factorization.

54304646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 54304646000 in words is "fifty-four billion, three hundred four million, six hundred forty-six thousand".