233561638772 has 96 divisors (see below), whose sum is σ = 527188279296. Its totient is φ = 87868281600.

The previous prime is 233561638753. The next prime is 233561638781. The reversal of 233561638772 is 277836165332.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 4336673 + ... + 4390199.

It is an arithmetic number, because the mean of its divisors is an integer number (5491544576).

Almost surely, 2^233561638772 is an apocalyptic number.

233561638772 is a gapful number since it is divisible by the number (22) 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 233561638772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263594139648).

233561638772 is an abundant number, since it is smaller than the sum of its proper divisors (293626640524).

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

233561638772 is a wasteful number, since it uses less digits than its factorization.

233561638772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54037 (or 54035 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 53.

The spelling of 233561638772 in words is "two hundred thirty-three billion, five hundred sixty-one million, six hundred thirty-eight thousand, seven hundred seventy-two".