32249692220928 has 960 divisors, whose sum is σ = 110677644177408. Its totient is φ = 8116780400640.

The previous prime is 32249692220881. The next prime is 32249692220939. The reversal of 32249692220928 is 82902229694223.

It is a happy number.

It is a super-2 number, since 2×32249692220928² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116424881526 + ... + 116424881802.

Almost surely, 2^{32249692220928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32249692220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55338822088704).

32249692220928 is an abundant number, since it is smaller than the sum of its proper divisors (78427951956480).

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

32249692220928 is an equidigital number, since it uses as much as digits as its factorization.

32249692220928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 32249692220928 in words is "thirty-two trillion, two hundred forty-nine billion, six hundred ninety-two million, two hundred twenty thousand, nine hundred twenty-eight".