233476425000 has 1440 divisors, whose sum is σ = 1029634646040. Its totient is φ = 48988800000.

The previous prime is 233476424957. The next prime is 233476425019. The reversal of 233476425000 is 524674332.

233476425000 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 7 + 642 + 5 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 214648743204 + 18827681796 = 463302^2 + 137214^2 .

It is a super-2 number, since 2×233476425000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 1289924910 + ... + 1289925090.

Almost surely, 2^233476425000 is an apocalyptic number.

233476425000 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 233476425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514817323020).

233476425000 is an abundant number, since it is smaller than the sum of its proper divisors (796158221040).

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

233476425000 is a wasteful number, since it uses less digits than its factorization.

233476425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 233476425000 in words is "two hundred thirty-three billion, four hundred seventy-six million, four hundred twenty-five thousand".