38659187214144 has 224 divisors, whose sum is σ = 131490229881600. Its totient is φ = 11045481781248.

The previous prime is 38659187214121. The next prime is 38659187214149. The reversal of 38659187214144 is 44141278195683.

It is a happy number.

38659187214144 is a `hidden beast` number, since 3 + 8 + 6 + 591 + 8 + 7 + 21 + 4 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×38659187214144³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38659187214149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18748809 + ... + 20708360.

Almost surely, 2^{38659187214144} is an apocalyptic number.

It is an amenable number.

38659187214144 is an abundant number, since it is smaller than the sum of its proper divisors (92831042667456).

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

38659187214144 is an frugal number, since it uses more digits than its factorization.

38659187214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39457209 (or 39457181 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 38659187214144 in words is "thirty-eight trillion, six hundred fifty-nine billion, one hundred eighty-seven million, two hundred fourteen thousand, one hundred forty-four".