468175638150 has 180 divisors, whose sum is σ = 1429844575236. Its totient is φ = 113497005600.

The previous prime is 468175638149. The next prime is 468175638193. The reversal of 468175638150 is 51836571864.

It is a happy number.

468175638150 is a `hidden beast` number, since 4 + 68 + 1 + 7 + 563 + 8 + 15 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12369 + ... + 967731.

Almost surely, 2^468175638150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468175638150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714922287618).

468175638150 is an abundant number, since it is smaller than the sum of its proper divisors (961668937086).

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

468175638150 is a wasteful number, since it uses less digits than its factorization.

468175638150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955409 (or 955384 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 468175638150 in words is "four hundred sixty-eight billion, one hundred seventy-five million, six hundred thirty-eight thousand, one hundred fifty".