38743664514368 has 112 divisors (see below), whose sum is σ = 84509916019200. Its totient is φ = 17476990164480.

The previous prime is 38743664514307. The next prime is 38743664514403. The reversal of 38743664514368 is 86341546634783.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38743664514298 and 38743664514307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72508403 + ... + 73040781.

It is an arithmetic number, because the mean of its divisors is an integer number (754552821600).

Almost surely, 2^{38743664514368} 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 38743664514368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42254958009600).

38743664514368 is an abundant number, since it is smaller than the sum of its proper divisors (45766251504832).

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

38743664514368 is a wasteful number, since it uses less digits than its factorization.

38743664514368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533188 (or 533178 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 68.

The spelling of 38743664514368 in words is "thirty-eight trillion, seven hundred forty-three billion, six hundred sixty-four million, five hundred fourteen thousand, three hundred sixty-eight".