38663116800000 has 2160 divisors, whose sum is σ = 163881853140096. Its totient is φ = 8016691200000.

The previous prime is 38663116799917. The next prime is 38663116800053. The reversal of 38663116800000 is 861136683.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 82790399767 + ... + 82790400233.

Almost surely, 2^{38663116800000} is an apocalyptic number.

38663116800000 is a gapful number since it is divisible by the number (30) 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 38663116800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81940926570048).

38663116800000 is an abundant number, since it is smaller than the sum of its proper divisors (125218736340096).

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

38663116800000 is an frugal number, since it uses more digits than its factorization.

38663116800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

Adding to 38663116800000 its reverse (861136683), we get a palindrome (38663977936683).

The spelling of 38663116800000 in words is "thirty-eight trillion, six hundred sixty-three billion, one hundred sixteen million, eight hundred thousand".