234224343422432 has 72 divisors (see below), whose sum is σ = 506869170060456. Its totient is φ = 106463893536000.

The previous prime is 234224343422431. The next prime is 234224343422449.

234224343422432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234224343422432² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234224343422431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257192207 + ... + 258101297.

It is an arithmetic number, because the mean of its divisors is an integer number (7039849584173).

Almost surely, 2^{234224343422432} is an apocalyptic number.

234224343422432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234224343422432 is an abundant number, since it is smaller than the sum of its proper divisors (272644826638024).

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

234224343422432 is a wasteful number, since it uses less digits than its factorization.

234224343422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975664 (or 975645 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 44.

The spelling of 234224343422432 in words is "two hundred thirty-four trillion, two hundred twenty-four billion, three hundred forty-three million, four hundred twenty-two thousand, four hundred thirty-two".