233905729245696 has 240 divisors, whose sum is σ = 700347823183008. Its totient is φ = 77937666048000.

The previous prime is 233905729245689. The next prime is 233905729245743. The reversal of 233905729245696 is 696542927509332.

233905729245696 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 0 + 57 + 2 + 9 + 2 + 4 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314525496 + ... + 315268296.

Almost surely, 2^{233905729245696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233905729245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350173911591504).

233905729245696 is an abundant number, since it is smaller than the sum of its proper divisors (466442093937312).

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

233905729245696 is an frugal number, since it uses more digits than its factorization.

233905729245696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745365 (or 745337 counting only the distinct ones).

The product of its (nonzero) digits is 1322697600, while the sum is 72.

The spelling of 233905729245696 in words is "two hundred thirty-three trillion, nine hundred five billion, seven hundred twenty-nine million, two hundred forty-five thousand, six hundred ninety-six".