1138114816300 has 144 divisors (see below), whose sum is σ = 3162338097408. Its totient is φ = 345149510400.

The previous prime is 1138114816271. The next prime is 1138114816351. The reversal of 1138114816300 is 36184118311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1138114816300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1712494 + ... + 2282293.

It is an arithmetic number, because the mean of its divisors is an integer number (21960681232).

Almost surely, 2^{1138114816300} is an apocalyptic number.

1138114816300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138114816300 is an abundant number, since it is smaller than the sum of its proper divisors (2024223281108).

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

1138114816300 is a wasteful number, since it uses less digits than its factorization.

1138114816300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994856 (or 3994849 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 1138114816300 in words is "one trillion, one hundred thirty-eight billion, one hundred fourteen million, eight hundred sixteen thousand, three hundred".