38468613386952 has 128 divisors (see below), whose sum is σ = 122633556480000. Its totient is φ = 10945044710208.

The previous prime is 38468613386939. The next prime is 38468613386981. The reversal of 38468613386952 is 25968331686483.

38468613386952 is a `hidden beast` number, since 3 + 8 + 468 + 6 + 1 + 33 + 86 + 9 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52865002 + ... + 53587737.

It is an arithmetic number, because the mean of its divisors is an integer number (958074660000).

Almost surely, 2^{38468613386952} is an apocalyptic number.

It is an amenable number.

38468613386952 is an abundant number, since it is smaller than the sum of its proper divisors (84164943093048).

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

38468613386952 is a wasteful number, since it uses less digits than its factorization.

38468613386952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106453000 (or 106452990 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 38468613386952 in words is "thirty-eight trillion, four hundred sixty-eight billion, six hundred thirteen million, three hundred eighty-six thousand, nine hundred fifty-two".