32228651136000 has 1408 divisors, whose sum is σ = 124338377479680. Its totient is φ = 7348682752000.

The previous prime is 32228651135981. The next prime is 32228651136049. The reversal of 32228651136000 is 63115682223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a self number, because there is not a number n which added to its sum of digits gives 32228651136000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20752511224 + ... + 20752512776.

Almost surely, 2^{32228651136000} is an apocalyptic number.

32228651136000 is a gapful number since it is divisible by the number (30) 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 32228651136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62169188739840).

32228651136000 is an abundant number, since it is smaller than the sum of its proper divisors (92109726343680).

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

32228651136000 is a wasteful number, since it uses less digits than its factorization.

32228651136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 32228651136000 in words is "thirty-two trillion, two hundred twenty-eight billion, six hundred fifty-one million, one hundred thirty-six thousand".