1338232168800 has 180 divisors, whose sum is σ = 4880272744116. Its totient is φ = 356861894400.

The previous prime is 1338232168787. The next prime is 1338232168807. The reversal of 1338232168800 is 88612328331.

1338232168800 is a `hidden beast` number, since 1 + 3 + 382 + 32 + 168 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1338232168800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338232168807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10261066 + ... + 10390665.

Almost surely, 2^{1338232168800} is an apocalyptic number.

1338232168800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338232168800 is an abundant number, since it is smaller than the sum of its proper divisors (3542040575316).

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

1338232168800 is a wasteful number, since it uses less digits than its factorization.

1338232168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20651763 (or 20651741 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1338232168800 in words is "one trillion, three hundred thirty-eight billion, two hundred thirty-two million, one hundred sixty-eight thousand, eight hundred".