468200360891844 has 243 divisors, whose sum is σ = 1422660931726671. Its totient is φ = 129448531326240.

The previous prime is 468200360891831. The next prime is 468200360891849. The reversal of 468200360891844 is 448198063002864.

The square root of 468200360891844 is 21637938.

It is a perfect power (a square), and thus also a powerful number.

468200360891844 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 0 + 0 + 3 + 608 + 9 + 18 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (468200360891849) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28172586967 + ... + 28172603585.

Almost surely, 2^{468200360891844} is an apocalyptic number.

468200360891844 is the 21637938-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468200360891844

468200360891844 is an abundant number, since it is smaller than the sum of its proper divisors (954460570834827).

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

468200360891844 is an equidigital number, since it uses as much as digits as its factorization.

468200360891844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33324 (or 16662 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 468200360891844 in words is "four hundred sixty-eight trillion, two hundred billion, three hundred sixty million, eight hundred ninety-one thousand, eight hundred forty-four".