233890488000 has 672 divisors, whose sum is σ = 954090446400. Its totient is φ = 54182707200.

The previous prime is 233890487933. The next prime is 233890488023. The reversal of 233890488000 is 884098332.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15904651 + ... + 15919349.

It is an arithmetic number, because the mean of its divisors is an integer number (1419777450).

Almost surely, 2^233890488000 is an apocalyptic number.

233890488000 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 233890488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477045223200).

233890488000 is an abundant number, since it is smaller than the sum of its proper divisors (720199958400).

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

233890488000 is a wasteful number, since it uses less digits than its factorization.

233890488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762 (or 14739 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 233890488000 in words is "two hundred thirty-three billion, eight hundred ninety million, four hundred eighty-eight thousand".