234086728512 has 224 divisors, whose sum is σ = 762810361600. Its totient is φ = 61694410752.

The previous prime is 234086728493. The next prime is 234086728591. The reversal of 234086728512 is 215827680432.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31253664 + ... + 31261152.

It is an arithmetic number, because the mean of its divisors is an integer number (3405403400).

Almost surely, 2^234086728512 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 234086728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381405180800).

234086728512 is an abundant number, since it is smaller than the sum of its proper divisors (528723633088).

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

234086728512 is a wasteful number, since it uses less digits than its factorization.

234086728512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 234086728512 in words is "two hundred thirty-four billion, eighty-six million, seven hundred twenty-eight thousand, five hundred twelve".