234745626547432 has 960 divisors, whose sum is σ = 642267853516800. Its totient is φ = 78051714048000.

The previous prime is 234745626547379. The next prime is 234745626547433.

234745626547432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234745626547432² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234745626547433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1848390760153 + ... + 1848390760279.

It is an arithmetic number, because the mean of its divisors is an integer number (669029014080).

Almost surely, 2^{234745626547432} is an apocalyptic number.

234745626547432 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 234745626547432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321133926758400).

234745626547432 is an abundant number, since it is smaller than the sum of its proper divisors (407522226969368).

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

234745626547432 is a wasteful number, since it uses less digits than its factorization.

234745626547432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 278 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 64.

The spelling of 234745626547432 in words is "two hundred thirty-four trillion, seven hundred forty-five billion, six hundred twenty-six million, five hundred forty-seven thousand, four hundred thirty-two".