132233468113728 has 448 divisors, whose sum is σ = 428038394112000. Its totient is φ = 39844623126528.

The previous prime is 132233468113727. The next prime is 132233468113759. The reversal of 132233468113728 is 827311864332231.

It is a happy number.

132233468113728 is a `hidden beast` number, since 1 + 3 + 2 + 23 + 3 + 468 + 1 + 137 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132233468113727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308636551 + ... + 309064697.

It is an arithmetic number, because the mean of its divisors is an integer number (955442844000).

Almost surely, 2^{132233468113728} is an apocalyptic number.

132233468113728 is a gapful number since it is divisible by the number (18) 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 132233468113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214019197056000).

132233468113728 is an abundant number, since it is smaller than the sum of its proper divisors (295804925998272).

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

132233468113728 is a wasteful number, since it uses less digits than its factorization.

132233468113728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428619 (or 428603 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 132233468113728 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, four hundred sixty-eight million, one hundred thirteen thousand, seven hundred twenty-eight".