234757765000 has 80 divisors (see below), whose sum is σ = 600040987920. Its totient is φ = 85366440000.

The previous prime is 234757764949. The next prime is 234757765037. The reversal of 234757765000 is 567757432.

It is a happy number.

234757765000 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 2×234757765000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2079162 + ... + 2189161.

It is an arithmetic number, because the mean of its divisors is an integer number (7500512349).

Almost surely, 2^234757765000 is an apocalyptic number.

234757765000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234757765000 is an abundant number, since it is smaller than the sum of its proper divisors (365283222920).

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

234757765000 is a wasteful number, since it uses less digits than its factorization.

234757765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268360 (or 4268341 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 46.

The spelling of 234757765000 in words is "two hundred thirty-four billion, seven hundred fifty-seven million, seven hundred sixty-five thousand".