234632127942784 has 512 divisors, whose sum is σ = 557451901440000. Its totient is φ = 96972064358400.

The previous prime is 234632127942781. The next prime is 234632127942799. The reversal of 234632127942784 is 487249721236432.

It is a happy number.

It is a super-5 number, since 5×234632127942784⁵ (a number of 73 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (234632127942781) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 470204664967 + ... + 470204665465.

It is an arithmetic number, because the mean of its divisors is an integer number (1088773245000).

Almost surely, 2^{234632127942784} 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 234632127942784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278725950720000).

234632127942784 is an abundant number, since it is smaller than the sum of its proper divisors (322819773497216).

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

234632127942784 is a wasteful number, since it uses less digits than its factorization.

234632127942784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1592 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 64.

The spelling of 234632127942784 in words is "two hundred thirty-four trillion, six hundred thirty-two billion, one hundred twenty-seven million, nine hundred forty-two thousand, seven hundred eighty-four".