1138861214208 has 480 divisors, whose sum is σ = 3495360211200. Its totient is φ = 356375298048.

The previous prime is 1138861214201. The next prime is 1138861214209. The reversal of 1138861214208 is 8024121688311.

1138861214208 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 8 + 612 + 1 + 4 + 20 + 8 = 666.

It is a super-2 number, since 2×1138861214208² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1138861214201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1124245510 + ... + 1124246522.

It is an arithmetic number, because the mean of its divisors is an integer number (7282000440).

Almost surely, 2^{1138861214208} is an apocalyptic number.

1138861214208 is a gapful number since it is divisible by the number (18) 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 1138861214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747680105600).

1138861214208 is an abundant number, since it is smaller than the sum of its proper divisors (2356498996992).

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

1138861214208 is a wasteful number, since it uses less digits than its factorization.

1138861214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1138861214208 in words is "one trillion, one hundred thirty-eight billion, eight hundred sixty-one million, two hundred fourteen thousand, two hundred eight".