22164156000 has 576 divisors, whose sum is σ = 90505973376. Its totient is φ = 5031936000.

The previous prime is 22164155953. The next prime is 22164156017. The reversal of 22164156000 is 65146122.

22164156000 is a `hidden beast` number, since 2 + 2 + 16 + 41 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×22164156000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70811844 + ... + 70812156.

It is an arithmetic number, because the mean of its divisors is an integer number (157128426).

Almost surely, 2^22164156000 is an apocalyptic number.

22164156000 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 22164156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45252986688).

22164156000 is an abundant number, since it is smaller than the sum of its proper divisors (68341817376).

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

22164156000 is a wasteful number, since it uses less digits than its factorization.

22164156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 22164156000 in words is "twenty-two billion, one hundred sixty-four million, one hundred fifty-six thousand".