468145986739200 has 6336 divisors, whose sum is σ = 2261927668792320. Its totient is φ = 93306028032000.

The previous prime is 468145986739181. The next prime is 468145986739241. The reversal of 468145986739200 is 2937689541864.

468145986739200 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 4 + 598 + 6 + 7 + 3 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4142884838344 + ... + 4142884838456.

It is a 1-persistent number, because it is pandigital, but 2⋅468145986739200 = 936291973478400 is not.

Almost surely, 2^{468145986739200} is an apocalyptic number.

468145986739200 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 468145986739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130963834396160).

468145986739200 is an abundant number, since it is smaller than the sum of its proper divisors (1793781682053120).

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

468145986739200 is a wasteful number, since it uses less digits than its factorization.

468145986739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 468145986739200 in words is "four hundred sixty-eight trillion, one hundred forty-five billion, nine hundred eighty-six million, seven hundred thirty-nine thousand, two hundred".