38575374205914 has 192 divisors, whose sum is σ = 106122124442880. Its totient is φ = 10170164459520.

The previous prime is 38575374205853. The next prime is 38575374205919. The reversal of 38575374205914 is 41950247357583.

38575374205914 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 5 + 37 + 4 + 2 + 0 + 591 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38575374205919) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184961934 + ... + 185170374.

It is an arithmetic number, because the mean of its divisors is an integer number (552719398140).

Almost surely, 2^{38575374205914} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38575374205914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53061062221440).

38575374205914 is an abundant number, since it is smaller than the sum of its proper divisors (67546750236966).

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

38575374205914 is a wasteful number, since it uses less digits than its factorization.

38575374205914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211382 (or 211363 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 38575374205914 in words is "thirty-eight trillion, five hundred seventy-five billion, three hundred seventy-four million, two hundred five thousand, nine hundred fourteen".