38168514468 has 144 divisors (see below), whose sum is σ = 115251462144. Its totient is φ = 10819176480.

The previous prime is 38168514437. The next prime is 38168514473. The reversal of 38168514468 is 86441586183.

38168514468 is a `hidden beast` number, since 3 + 8 + 1 + 68 + 514 + 4 + 68 = 666.

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 47 ways as a sum of consecutive naturals, for example, 842023 + ... + 886193.

It is an arithmetic number, because the mean of its divisors is an integer number (800357376).

Almost surely, 2^38168514468 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 38168514468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57625731072).

38168514468 is an abundant number, since it is smaller than the sum of its proper divisors (77082947676).

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

38168514468 is a wasteful number, since it uses less digits than its factorization.

38168514468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44324 (or 44310 counting only the distinct ones).

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

The spelling of 38168514468 in words is "thirty-eight billion, one hundred sixty-eight million, five hundred fourteen thousand, four hundred sixty-eight".