4922186121216 has 1620 divisors, whose sum is σ = 18661874704200. Its totient is φ = 1244377645056.

The previous prime is 4922186121161. The next prime is 4922186121239. The reversal of 4922186121216 is 6121216812294.

4922186121216 is a `hidden beast` number, since 4 + 9 + 2 + 2 + 1 + 8 + 612 + 1 + 21 + 6 = 666.

It is a super-2 number, since 2×4922186121216² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 35411410875 + ... + 35411411013.

Almost surely, 2^{4922186121216} 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 4922186121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9330937352100).

4922186121216 is an abundant number, since it is smaller than the sum of its proper divisors (13739688582984).

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

4922186121216 is a wasteful number, since it uses less digits than its factorization.

4922186121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 193 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 4922186121216 in words is "four trillion, nine hundred twenty-two billion, one hundred eighty-six million, one hundred twenty-one thousand, two hundred sixteen".