233578890000 has 525 divisors, whose sum is σ = 852652175683. Its totient is φ = 61939728000.

The previous prime is 233578889923. The next prime is 233578890011. The reversal of 233578890000 is 98875332.

The square root of 233578890000 is 483300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 18312584976 + 215266305024 = 135324^2 + 463968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1304909911 + ... + 1304910089.

Almost surely, 2^233578890000 is an apocalyptic number.

233578890000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

233578890000 is the 483300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233578890000

233578890000 is an abundant number, since it is smaller than the sum of its proper divisors (619073285683).

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

233578890000 is an frugal number, since it uses more digits than its factorization.

233578890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 233578890000 in words is "two hundred thirty-three billion, five hundred seventy-eight million, eight hundred ninety thousand".