1138479447168 has 288 divisors, whose sum is σ = 3815074008720. Its totient is φ = 324929203200.

The previous prime is 1138479447163. The next prime is 1138479447173. The reversal of 1138479447168 is 8617449748311.

1138479447168 is a `hidden beast` number, since 1 + 1 + 38 + 4 + 79 + 4 + 471 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (1138479447163) and next prime (1138479447173).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1138479447168² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1138479447163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54800623 + ... + 54821393.

Almost surely, 2^{1138479447168} is an apocalyptic number.

1138479447168 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 1138479447168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907537004360).

1138479447168 is an abundant number, since it is smaller than the sum of its proper divisors (2676594561552).

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

1138479447168 is a wasteful number, since it uses less digits than its factorization.

1138479447168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21776 (or 21754 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 1138479447168 in words is "one trillion, one hundred thirty-eight billion, four hundred seventy-nine million, four hundred forty-seven thousand, one hundred sixty-eight".