468099648000 has 1120 divisors, whose sum is σ = 1786159964160. Its totient is φ = 122276044800.

The previous prime is 468099647989. The next prime is 468099648041. The reversal of 468099648000 is 846990864.

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

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 111 ways as a sum of consecutive naturals, for example, 3685823937 + ... + 3685824063.

Almost surely, 2^468099648000 is an apocalyptic number.

468099648000 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 468099648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893079982080).

468099648000 is an abundant number, since it is smaller than the sum of its proper divisors (1318060316160).

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

468099648000 is an frugal number, since it uses more digits than its factorization.

468099648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 468099648000 in words is "four hundred sixty-eight billion, ninety-nine million, six hundred forty-eight thousand".