38078509524048 has 240 divisors, whose sum is σ = 129494526819840. Its totient is φ = 10196754591744.

The previous prime is 38078509524019. The next prime is 38078509524089. The reversal of 38078509524048 is 84042590587083.

38078509524048 is a `hidden beast` number, since 3 + 8 + 0 + 78 + 509 + 52 + 4 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553315 + ... + 8744322.

It is an arithmetic number, because the mean of its divisors is an integer number (539560528416).

Almost surely, 2^{38078509524048} 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 38078509524048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64747263409920).

38078509524048 is an abundant number, since it is smaller than the sum of its proper divisors (91416017295792).

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

38078509524048 is a wasteful number, since it uses less digits than its factorization.

38078509524048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9297914 (or 9297905 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 38078509524048 in words is "thirty-eight trillion, seventy-eight billion, five hundred nine million, five hundred twenty-four thousand, forty-eight".