1138384147680 has 1440 divisors, whose sum is σ = 4578117667200. Its totient is φ = 264737341440.

The previous prime is 1138384147583. The next prime is 1138384147709. The reversal of 1138384147680 is 867414838311.

1138384147680 is a `hidden beast` number, since 1 + 1 + 3 + 83 + 8 + 414 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12790833076 + ... + 12790833164.

It is an arithmetic number, because the mean of its divisors is an integer number (3179248380).

Almost surely, 2^{1138384147680} is an apocalyptic number.

1138384147680 is a gapful number since it is divisible by the number (10) 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 1138384147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289058833600).

1138384147680 is an abundant number, since it is smaller than the sum of its proper divisors (3439733519520).

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

1138384147680 is a wasteful number, since it uses less digits than its factorization.

1138384147680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1138384147680 in words is "one trillion, one hundred thirty-eight billion, three hundred eighty-four million, one hundred forty-seven thousand, six hundred eighty".