234477984384 has 256 divisors, whose sum is σ = 791462880000. Its totient is φ = 66945871872.

The previous prime is 234477984311. The next prime is 234477984397. The reversal of 234477984384 is 483489774432.

234477984384 is a `hidden beast` number, since 2 + 3 + 4 + 477 + 9 + 84 + 3 + 84 = 666.

234477984384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47147722 + ... + 47152694.

It is an arithmetic number, because the mean of its divisors is an integer number (3091651875).

Almost surely, 2^234477984384 is an apocalyptic number.

234477984384 is a gapful number since it is divisible by the number (24) 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 234477984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395731440000).

234477984384 is an abundant number, since it is smaller than the sum of its proper divisors (556984895616).

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

234477984384 is a wasteful number, since it uses less digits than its factorization.

234477984384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952 (or 6934 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 234477984384 in words is "two hundred thirty-four billion, four hundred seventy-seven million, nine hundred eighty-four thousand, three hundred eighty-four".