468329148000 has 768 divisors, whose sum is σ = 1957548902400. Its totient is φ = 106536038400.

The previous prime is 468329147999. The next prime is 468329148011. The reversal of 468329148000 is 841923864.

It is a happy number.

468329148000 is a `hidden beast` number, since 4 + 6 + 83 + 2 + 91 + 480 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 171610636 + ... + 171613364.

It is an arithmetic number, because the mean of its divisors is an integer number (2548891800).

Almost surely, 2^468329148000 is an apocalyptic number.

468329148000 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 468329148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978774451200).

468329148000 is an abundant number, since it is smaller than the sum of its proper divisors (1489219754400).

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

468329148000 is a wasteful number, since it uses less digits than its factorization.

468329148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 468329148000 in words is "four hundred sixty-eight billion, three hundred twenty-nine million, one hundred forty-eight thousand".