233552101552240 has 40 divisors (see below), whose sum is σ = 550447110589968. Its totient is φ = 92141103075840.

The previous prime is 233552101552223. The next prime is 233552101552261. The reversal of 233552101552240 is 42255101255332.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 233552101552193 and 233552101552202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19995893266 + ... + 19995904945.

Almost surely, 2^{233552101552240} is an apocalyptic number.

233552101552240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233552101552240 is an abundant number, since it is smaller than the sum of its proper divisors (316895009037728).

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

233552101552240 is a wasteful number, since it uses less digits than its factorization.

233552101552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39991798297 (or 39991798291 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 233552101552240 in words is "two hundred thirty-three trillion, five hundred fifty-two billion, one hundred one million, five hundred fifty-two thousand, two hundred forty".