233473084416 has 792 divisors, whose sum is σ = 842708206704. Its totient is φ = 61365288960.

The previous prime is 233473084409. The next prime is 233473084423. The reversal of 233473084416 is 614480374332.

233473084416 is a `hidden beast` number, since 2 + 334 + 7 + 308 + 4 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (233473084409) and next prime (233473084423).

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×233473084416² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 380869326 + ... + 380869938.

Almost surely, 2^233473084416 is an apocalyptic number.

233473084416 is a gapful number since it is divisible by the number (26) 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 233473084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421354103352).

233473084416 is an abundant number, since it is smaller than the sum of its proper divisors (609235122288).

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

233473084416 is a wasteful number, since it uses less digits than its factorization.

233473084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 233473084416 in words is "two hundred thirty-three billion, four hundred seventy-three million, eighty-four thousand, four hundred sixteen".