38185686144 has 160 divisors (see below), whose sum is σ = 120325243500. Its totient is φ = 11979767808.

The previous prime is 38185686139. The next prime is 38185686157. The reversal of 38185686144 is 44168658183.

38185686144 is a `hidden beast` number, since 3 + 8 + 18 + 5 + 6 + 8 + 614 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37651521600 + 534164544 = 194040^2 + 23112^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67932 + ... + 284580.

Almost surely, 2^38185686144 is an apocalyptic number.

38185686144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38185686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60162621750).

38185686144 is an abundant number, since it is smaller than the sum of its proper divisors (82139557356).

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

38185686144 is a wasteful number, since it uses less digits than its factorization.

38185686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216692 (or 216671 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 38185686144 in words is "thirty-eight billion, one hundred eighty-five million, six hundred eighty-six thousand, one hundred forty-four".