38193766552368 has 400 divisors, whose sum is σ = 126804723978240. Its totient is φ = 10872079345152.

The previous prime is 38193766552313. The next prime is 38193766552373. The reversal of 38193766552368 is 86325566739183.

38193766552368 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 3 + 7 + 6 + 6 + 552 + 3 + 68 = 666.

38193766552368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38193766552296 and 38193766552305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2769865218 + ... + 2769879006.

Almost surely, 2^{38193766552368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38193766552368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63402361989120).

38193766552368 is an abundant number, since it is smaller than the sum of its proper divisors (88610957425872).

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

38193766552368 is a wasteful number, since it uses less digits than its factorization.

38193766552368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14926 (or 14911 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 38193766552368 in words is "thirty-eight trillion, one hundred ninety-three billion, seven hundred sixty-six million, five hundred fifty-two thousand, three hundred sixty-eight".