233081901000 has 768 divisors, whose sum is σ = 900449222400. Its totient is φ = 55442880000.

The previous prime is 233081900959. The next prime is 233081901029. The reversal of 233081901000 is 109180332.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 337310655 + ... + 337311345.

It is an arithmetic number, because the mean of its divisors is an integer number (1172459925).

Almost surely, 2^233081901000 is an apocalyptic number.

233081901000 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 233081901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450224611200).

233081901000 is an abundant number, since it is smaller than the sum of its proper divisors (667367321400).

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

233081901000 is a wasteful number, since it uses less digits than its factorization.

233081901000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 233081901000 in words is "two hundred thirty-three billion, eighty-one million, nine hundred one thousand".