234394966800 has 180 divisors, whose sum is σ = 856227244080. Its totient is φ = 59215553280.

The previous prime is 234394966759. The next prime is 234394966807. The reversal of 234394966800 is 8669493432.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×234394966800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234394966807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1645014 + ... + 1781813.

Almost surely, 2^234394966800 is an apocalyptic number.

234394966800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234394966800 is an abundant number, since it is smaller than the sum of its proper divisors (621832277280).

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

234394966800 is a wasteful number, since it uses less digits than its factorization.

234394966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426870 (or 3426856 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 234394966800 in words is "two hundred thirty-four billion, three hundred ninety-four million, nine hundred sixty-six thousand, eight hundred".