234314101413432 has 48 divisors (see below), whose sum is σ = 637888777849440. Its totient is φ = 77700012899328.

The previous prime is 234314101413419. The next prime is 234314101413503.

234314101413432 is a `hidden beast` number, since 2 + 3 + 43 + 1 + 41 + 0 + 141 + 3 + 432 = 666.

234314101413432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8430977088 + ... + 8431004879.

It is an arithmetic number, because the mean of its divisors is an integer number (13289349538530).

Almost surely, 2^{234314101413432} is an apocalyptic number.

It is an amenable number.

234314101413432 is an abundant number, since it is smaller than the sum of its proper divisors (403574676436008).

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

234314101413432 is a wasteful number, since it uses less digits than its factorization.

234314101413432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16861982172 (or 16861982165 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 23431410 and 1413432, that added together give a palindrome (24844842).

The spelling of 234314101413432 in words is "two hundred thirty-four trillion, three hundred fourteen billion, one hundred one million, four hundred thirteen thousand, four hundred thirty-two".