468982548000 has 1920 divisors, whose sum is σ = 1952171020800. Its totient is φ = 109734912000.

The previous prime is 468982547989. The next prime is 468982548007. The reversal of 468982548000 is 845289864.

468982548000 is a `hidden beast` number, since 4 + 6 + 8 + 98 + 2 + 548 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (468982548007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6605387965 + ... + 6605388035.

It is an arithmetic number, because the mean of its divisors is an integer number (1016755740).

Almost surely, 2^468982548000 is an apocalyptic number.

468982548000 is a gapful number since it is divisible by the number (40) 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 468982548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976085510400).

468982548000 is an abundant number, since it is smaller than the sum of its proper divisors (1483188472800).

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

468982548000 is a wasteful number, since it uses less digits than its factorization.

468982548000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 468982548000 in words is "four hundred sixty-eight billion, nine hundred eighty-two million, five hundred forty-eight thousand".