387662872818816 has 576 divisors, whose sum is σ = 1308038847017760. Its totient is φ = 109876348108800.

The previous prime is 387662872818769. The next prime is 387662872818841. The reversal of 387662872818816 is 618818278266783.

387662872818816 is a `hidden beast` number, since 3 + 87 + 66 + 287 + 28 + 188 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25637375736 + ... + 25637390856.

Almost surely, 2^{387662872818816} is an apocalyptic number.

387662872818816 is a gapful number since it is divisible by the number (36) 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 387662872818816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654019423508880).

387662872818816 is an abundant number, since it is smaller than the sum of its proper divisors (920375974198944).

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

387662872818816 is a wasteful number, since it uses less digits than its factorization.

387662872818816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18753 (or 18731 counting only the distinct ones).

The product of its digits is 4161798144, while the sum is 81.

The spelling of 387662872818816 in words is "three hundred eighty-seven trillion, six hundred sixty-two billion, eight hundred seventy-two million, eight hundred eighteen thousand, eight hundred sixteen".