6230955456000 has 2880 divisors, whose sum is σ = 27138335178240. Its totient is φ = 1410877440000.

The previous prime is 6230955455987. The next prime is 6230955456059. The reversal of 6230955456000 is 6545590326.

6230955456000 is a `hidden beast` number, since 6 + 2 + 30 + 9 + 5 + 5 + 4 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 87759935965 + ... + 87759936035.

It is an arithmetic number, because the mean of its divisors is an integer number (9423033048).

Almost surely, 2^{6230955456000} is an apocalyptic number.

6230955456000 is a gapful number since it is divisible by the number (60) 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 6230955456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569167589120).

6230955456000 is an abundant number, since it is smaller than the sum of its proper divisors (20907379722240).

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

6230955456000 is an frugal number, since it uses more digits than its factorization.

6230955456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 6230955456000 in words is "six trillion, two hundred thirty billion, nine hundred fifty-five million, four hundred fifty-six thousand".