234251112400 has 60 divisors (see below), whose sum is σ = 595893508812. Its totient is φ = 88188651520.

The previous prime is 234251112367. The next prime is 234251112401. The reversal of 234251112400 is 4211152432.

234251112400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3070933056 + 231180179344 = 55416^2 + 480812^2 .

It is a super-4 number, since 4×234251112400⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234251112401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17217547 + ... + 17231146.

Almost surely, 2^234251112400 is an apocalyptic number.

234251112400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234251112400 is an abundant number, since it is smaller than the sum of its proper divisors (361642396412).

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

234251112400 is a wasteful number, since it uses less digits than its factorization.

234251112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34448728 (or 34448717 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 234251112400 its reverse (4211152432), we get a palindrome (238462264832).

The spelling of 234251112400 in words is "two hundred thirty-four billion, two hundred fifty-one million, one hundred twelve thousand, four hundred".