2218626145008 has 480 divisors, whose sum is σ = 8193498707520. Its totient is φ = 569315174400.

The previous prime is 2218626145007. The next prime is 2218626145067. The reversal of 2218626145008 is 8005416268122.

2218626145008 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 626 + 14 + 5 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218626145007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10072858 + ... + 10290758.

It is an arithmetic number, because the mean of its divisors is an integer number (17069788974).

Almost surely, 2^{2218626145008} is an apocalyptic number.

2218626145008 is a gapful number since it is divisible by the number (28) 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 2218626145008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096749353760).

2218626145008 is an abundant number, since it is smaller than the sum of its proper divisors (5974872562512).

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

2218626145008 is a wasteful number, since it uses less digits than its factorization.

2218626145008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217982 (or 217963 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2218626145008 in words is "two trillion, two hundred eighteen billion, six hundred twenty-six million, one hundred forty-five thousand, eight".