1338176318976 has 720 divisors, whose sum is σ = 4673786941824. Its totient is φ = 374436421632.

The previous prime is 1338176318959. The next prime is 1338176318977. The reversal of 1338176318976 is 6798136718331.

It is a happy number.

1338176318976 is a `hidden beast` number, since 1 + 3 + 381 + 7 + 6 + 3 + 189 + 76 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338176318977) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2446391535 + ... + 2446392081.

Almost surely, 2^{1338176318976} is an apocalyptic number.

1338176318976 is a gapful number since it is divisible by the number (16) 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 1338176318976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336893470912).

1338176318976 is an abundant number, since it is smaller than the sum of its proper divisors (3335610622848).

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

1338176318976 is an frugal number, since it uses more digits than its factorization.

1338176318976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 612 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 1338176318976 in words is "one trillion, three hundred thirty-eight billion, one hundred seventy-six million, three hundred eighteen thousand, nine hundred seventy-six".