468723396211200 has 2400 divisors, whose sum is σ = 1980676301936640. Its totient is φ = 108634875494400.

The previous prime is 468723396211199. The next prime is 468723396211207. The reversal of 468723396211200 is 2112693327864.

468723396211200 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 2 + 3 + 3 + 9 + 621 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 (468723396211207) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15459709641 + ... + 15459739959.

Almost surely, 2^{468723396211200} is an apocalyptic number.

468723396211200 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 468723396211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990338150968320).

468723396211200 is an abundant number, since it is smaller than the sum of its proper divisors (1511952905725440).

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

468723396211200 is a wasteful number, since it uses less digits than its factorization.

468723396211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30440 (or 30410 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 468723396211200 in words is "four hundred sixty-eight trillion, seven hundred twenty-three billion, three hundred ninety-six million, two hundred eleven thousand, two hundred".