234103493784384 has 448 divisors, whose sum is σ = 816872480755200. Its totient is φ = 64347728265216.

The previous prime is 234103493784379. The next prime is 234103493784397. The reversal of 234103493784384 is 483487394301432.

234103493784384 is a `hidden beast` number, since 2 + 3 + 4 + 10 + 34 + 93 + 78 + 438 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36893502 + ... + 42770754.

Almost surely, 2^{234103493784384} is an apocalyptic number.

234103493784384 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 234103493784384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408436240377600).

234103493784384 is an abundant number, since it is smaller than the sum of its proper divisors (582768986970816).

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

234103493784384 is a wasteful number, since it uses less digits than its factorization.

234103493784384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877407 (or 5877391 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 234103493784384 in words is "two hundred thirty-four trillion, one hundred three billion, four hundred ninety-three million, seven hundred eighty-four thousand, three hundred eighty-four".