386893821564 has 144 divisors (see below), whose sum is σ = 1064135872800. Its totient is φ = 118026989568.

The previous prime is 386893821553. The next prime is 386893821583. The reversal of 386893821564 is 465128398683.

It is a happy number.

386893821564 is a `hidden beast` number, since 3 + 8 + 68 + 9 + 3 + 8 + 2 + 1 + 564 = 666.

It is a congruent number.

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, 47299227 + ... + 47307405.

It is an arithmetic number, because the mean of its divisors is an integer number (7389832450).

Almost surely, 2^386893821564 is an apocalyptic number.

386893821564 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 386893821564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532067936400).

386893821564 is an abundant number, since it is smaller than the sum of its proper divisors (677242051236).

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

386893821564 is a wasteful number, since it uses less digits than its factorization.

386893821564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10332 (or 10327 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 386893821564 in words is "three hundred eighty-six billion, eight hundred ninety-three million, eight hundred twenty-one thousand, five hundred sixty-four".