233661513060240 has 160 divisors (see below), whose sum is σ = 727790649595776. Its totient is φ = 62014483292160.

The previous prime is 233661513060233. The next prime is 233661513060257. The reversal of 233661513060240 is 42060315166332.

It is a junction number, because it is equal to n+sod(n) for n = 233661513060192 and 233661513060201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42969730 + ... + 48101150.

Almost surely, 2^{233661513060240} is an apocalyptic number.

233661513060240 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 233661513060240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363895324797888).

233661513060240 is an abundant number, since it is smaller than the sum of its proper divisors (494129136535536).

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

233661513060240 is a wasteful number, since it uses less digits than its factorization.

233661513060240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132337 (or 5132331 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 233661513060240 in words is "two hundred thirty-three trillion, six hundred sixty-one billion, five hundred thirteen million, sixty thousand, two hundred forty".