1138918010112 has 216 divisors, whose sum is σ = 3305168370504. Its totient is φ = 377172590592.

The previous prime is 1138918010081. The next prime is 1138918010141. The reversal of 1138918010112 is 2110108198311.

It can be written as a sum of positive squares in 4 ways, for example, as 250016000256 + 888902009856 = 500016^2 + 942816^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432553948 + ... + 432556580.

It is an arithmetic number, because the mean of its divisors is an integer number (15301705419).

Almost surely, 2^{1138918010112} is an apocalyptic number.

1138918010112 is a gapful number since it is divisible by the number (12) 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 1138918010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652584185252).

1138918010112 is an abundant number, since it is smaller than the sum of its proper divisors (2166250360392).

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

1138918010112 is a wasteful number, since it uses less digits than its factorization.

1138918010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 36.

The spelling of 1138918010112 in words is "one trillion, one hundred thirty-eight billion, nine hundred eighteen million, ten thousand, one hundred twelve".