234133434120264 has 128 divisors (see below), whose sum is σ = 698604630958080. Its totient is φ = 63934796217600.

The previous prime is 234133434120259. The next prime is 234133434120281. The reversal of 234133434120264 is 462021434331432.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19854927 + ... + 29368094.

It is an arithmetic number, because the mean of its divisors is an integer number (5457848679360).

Almost surely, 2^{234133434120264} is an apocalyptic number.

234133434120264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234133434120264 is an abundant number, since it is smaller than the sum of its proper divisors (464471196837816).

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

234133434120264 is a wasteful number, since it uses less digits than its factorization.

234133434120264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49224291 (or 49224287 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 42.

Adding to 234133434120264 its reverse (462021434331432), we get a palindrome (696154868451696).

The spelling of 234133434120264 in words is "two hundred thirty-four trillion, one hundred thirty-three billion, four hundred thirty-four million, one hundred twenty thousand, two hundred sixty-four".