242832529632 has 192 divisors, whose sum is σ = 798723072000. Its totient is φ = 62756052480.

The previous prime is 242832529627. The next prime is 242832529733. The reversal of 242832529632 is 236925238242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1388469 + ... + 1553547.

It is an arithmetic number, because the mean of its divisors is an integer number (4160016000).

Almost surely, 2^242832529632 is an apocalyptic number.

242832529632 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 242832529632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399361536000).

242832529632 is an abundant number, since it is smaller than the sum of its proper divisors (555890542368).

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

242832529632 is a wasteful number, since it uses less digits than its factorization.

242832529632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165309 (or 165301 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 242832529632 in words is "two hundred forty-two billion, eight hundred thirty-two million, five hundred twenty-nine thousand, six hundred thirty-two".