22447628982900 has 864 divisors, whose sum is σ = 82132691921280. Its totient is φ = 5109962035200.

The previous prime is 22447628982887. The next prime is 22447628982923. The reversal of 22447628982900 is 928982674422.

22447628982900 is a `hidden beast` number, since 2 + 2 + 4 + 476 + 2 + 89 + 82 + 9 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11342914111 + ... + 11342916089.

It is an arithmetic number, because the mean of its divisors is an integer number (95060986020).

Almost surely, 2^{22447628982900} is an apocalyptic number.

22447628982900 is a gapful number since it is divisible by the number (20) 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 22447628982900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41066345960640).

22447628982900 is an abundant number, since it is smaller than the sum of its proper divisors (59685062938380).

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

22447628982900 is a wasteful number, since it uses less digits than its factorization.

22447628982900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 22447628982900 in words is "twenty-two trillion, four hundred forty-seven billion, six hundred twenty-eight million, nine hundred eighty-two thousand, nine hundred".