22854146112 has 672 divisors, whose sum is σ = 84115729152. Its totient is φ = 6003818496.

The previous prime is 22854146101. The next prime is 22854146137. The reversal of 22854146112 is 21164145822.

22854146112 is a `hidden beast` number, since 2 + 28 + 5 + 4 + 14 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98086348 + ... + 98086580.

It is an arithmetic number, because the mean of its divisors is an integer number (125172216).

Almost surely, 2^22854146112 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 22854146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42057864576).

22854146112 is an abundant number, since it is smaller than the sum of its proper divisors (61261583040).

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

22854146112 is a wasteful number, since it uses less digits than its factorization.

22854146112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 315 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The spelling of 22854146112 in words is "twenty-two billion, eight hundred fifty-four million, one hundred forty-six thousand, one hundred twelve".