32661288450 has 192 divisors, whose sum is σ = 106176061440. Its totient is φ = 7224552000.

The previous prime is 32661288433. The next prime is 32661288467. The reversal of 32661288450 is 5488216623.

32661288450 is a `hidden beast` number, since 3 + 26 + 612 + 8 + 8 + 4 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32661288433) and next prime (32661288467).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32661288396 and 32661288405.

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 95 ways as a sum of consecutive naturals, for example, 237205 + ... + 348695.

It is an arithmetic number, because the mean of its divisors is an integer number (553000320).

Almost surely, 2^32661288450 is an apocalyptic number.

32661288450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32661288450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53088030720).

32661288450 is an abundant number, since it is smaller than the sum of its proper divisors (73514772990).

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

32661288450 is a wasteful number, since it uses less digits than its factorization.

32661288450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111550 (or 111539 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 32661288450 in words is "thirty-two billion, six hundred sixty-one million, two hundred eighty-eight thousand, four hundred fifty".