234775632465920 has 936 divisors, whose sum is σ = 722658347358696. Its totient is φ = 72567193337856.

The previous prime is 234775632465851. The next prime is 234775632465967. The reversal of 234775632465920 is 29564236577432.

It can be written as a sum of positive squares in 4 ways, for example, as 25473904820224 + 209301727645696 = 5047168^2 + 14467264^2 .

It is a super-2 number, since 2×234775632465920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24121605374 + ... + 24121615106.

Almost surely, 2^{234775632465920} is an apocalyptic number.

234775632465920 is a gapful number since it is divisible by the number (20) 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 234775632465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361329173679348).

234775632465920 is an abundant number, since it is smaller than the sum of its proper divisors (487882714892776).

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

234775632465920 is an equidigital number, since it uses as much as digits as its factorization.

234775632465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9875 (or 9803 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 65.

The spelling of 234775632465920 in words is "two hundred thirty-four trillion, seven hundred seventy-five billion, six hundred thirty-two million, four hundred sixty-five thousand, nine hundred twenty".