468661831344 has 480 divisors, whose sum is σ = 1605582950400. Its totient is φ = 124640570880.

The previous prime is 468661831343. The next prime is 468661831367. The reversal of 468661831344 is 443138166864.

468661831344 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 618 + 3 + 13 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (468661831343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 711170887 + ... + 711171545.

It is an arithmetic number, because the mean of its divisors is an integer number (3344964480).

Almost surely, 2^468661831344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468661831344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802791475200).

468661831344 is an abundant number, since it is smaller than the sum of its proper divisors (1136921119056).

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

468661831344 is a wasteful number, since it uses less digits than its factorization.

468661831344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1284 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 468661831344 in words is "four hundred sixty-eight billion, six hundred sixty-one million, eight hundred thirty-one thousand, three hundred forty-four".