233893986480 has 1600 divisors, whose sum is σ = 1073374156800. Its totient is φ = 45765181440.

The previous prime is 233893986451. The next prime is 233893986493. The reversal of 233893986480 is 84689398332.

233893986480 is a `hidden beast` number, since 2 + 33 + 89 + 398 + 64 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1021371006 + ... + 1021371234.

It is an arithmetic number, because the mean of its divisors is an integer number (670858848).

Almost surely, 2^233893986480 is an apocalyptic number.

233893986480 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 233893986480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536687078400).

233893986480 is an abundant number, since it is smaller than the sum of its proper divisors (839480170320).

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

233893986480 is a wasteful number, since it uses less digits than its factorization.

233893986480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 233893986480 in words is "two hundred thirty-three billion, eight hundred ninety-three million, nine hundred eighty-six thousand, four hundred eighty".