234202424202432 has 168 divisors, whose sum is σ = 778004432255232. Its totient is φ = 65972513779200.

The previous prime is 234202424202431. The next prime is 234202424202569.

234202424202432 is a `hidden beast` number, since 2 + 3 + 4 + 20 + 2 + 424 + 202 + 4 + 3 + 2 = 666.

234202424202432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (234202424202431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408769494 + ... + 409342037.

It is an arithmetic number, because the mean of its divisors is an integer number (4630978763424).

Almost surely, 2^{234202424202432} is an apocalyptic number.

It is an amenable number.

234202424202432 is an abundant number, since it is smaller than the sum of its proper divisors (543802008052800).

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

234202424202432 is a wasteful number, since it uses less digits than its factorization.

234202424202432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818111627 (or 818111614 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 234202424202432 in words is "two hundred thirty-four trillion, two hundred two billion, four hundred twenty-four million, two hundred two thousand, four hundred thirty-two".