234645525546432 has 1344 divisors, whose sum is σ = 888754074550272. Its totient is φ = 53053933363200.

The previous prime is 234645525546359. The next prime is 234645525546437.

234645525546432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×234645525546432² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234645525546437) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3452310913 + ... + 3452378879.

It is an arithmetic number, because the mean of its divisors is an integer number (661275353088).

Almost surely, 2^{234645525546432} is an apocalyptic number.

234645525546432 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 234645525546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444377037275136).

234645525546432 is an abundant number, since it is smaller than the sum of its proper divisors (654108549003840).

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

234645525546432 is a wasteful number, since it uses less digits than its factorization.

234645525546432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68118 (or 68097 counting only the distinct ones).

The product of its digits is 414720000, while the sum is 60.

The spelling of 234645525546432 in words is "two hundred thirty-four trillion, six hundred forty-five billion, five hundred twenty-five million, five hundred forty-six thousand, four hundred thirty-two".