234648846432 has 1152 divisors, whose sum is σ = 946341688320. Its totient is φ = 55761592320.

The previous prime is 234648846427. The next prime is 234648846533.

234648846432 is a `hidden beast` number, since 2 + 34 + 64 + 88 + 46 + 432 = 666.

234648846432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234648846432² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2076538408 + ... + 2076538520.

It is an arithmetic number, because the mean of its divisors is an integer number (821477160).

Almost surely, 2^234648846432 is an apocalyptic number.

234648846432 is a gapful number since it is divisible by the number (22) 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 234648846432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473170844160).

234648846432 is an abundant number, since it is smaller than the sum of its proper divisors (711692841888).

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

234648846432 is a wasteful number, since it uses less digits than its factorization.

234648846432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 149 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 234648846432 in words is "two hundred thirty-four billion, six hundred forty-eight million, eight hundred forty-six thousand, four hundred thirty-two".