234046262640432 has 240 divisors, whose sum is σ = 681789536176896. Its totient is φ = 69108458073600.

The previous prime is 234046262640427. The next prime is 234046262640457.

234046262640432 is nontrivially palindromic in base 10.

234046262640432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×234046262640432² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34821853 + ... + 40995779.

Almost surely, 2^{234046262640432} is an apocalyptic number.

234046262640432 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 234046262640432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340894768088448).

234046262640432 is an abundant number, since it is smaller than the sum of its proper divisors (447743273536464).

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

234046262640432 is a wasteful number, since it uses less digits than its factorization.

234046262640432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174128 (or 6174111 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 48.

The spelling of 234046262640432 in words is "two hundred thirty-four trillion, forty-six billion, two hundred sixty-two million, six hundred forty thousand, four hundred thirty-two".