22187468160000 has 4400 divisors, whose sum is σ = 101005387404768. Its totient is φ = 4777574400000.

The previous prime is 22187468159993. The next prime is 22187468160037. The reversal of 22187468160000 is 6186478122.

22187468160000 is a `hidden beast` number, since 2 + 2 + 187 + 468 + 1 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 303937919964 + ... + 303937920036.

Almost surely, 2^{22187468160000} is an apocalyptic number.

22187468160000 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 22187468160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50502693702384).

22187468160000 is an abundant number, since it is smaller than the sum of its proper divisors (78817919244768).

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

22187468160000 is a wasteful number, since it uses less digits than its factorization.

22187468160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 22187468160000 in words is "twenty-two trillion, one hundred eighty-seven billion, four hundred sixty-eight million, one hundred sixty thousand".