389449386144 has 972 divisors, whose sum is σ = 1464763807962. Its totient is φ = 97283773440.

The previous prime is 389449386101. The next prime is 389449386173. The reversal of 389449386144 is 441683944983.

It is a happy number.

389449386144 is a `hidden beast` number, since 3 + 8 + 9 + 4 + 4 + 9 + 3 + 8 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 374470563600 + 14978822544 = 611940^2 + 122388^2 .

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

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 161 ways as a sum of consecutive naturals, for example, 8286157129 + ... + 8286157175.

Almost surely, 2^389449386144 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 389449386144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732381903981).

389449386144 is an abundant number, since it is smaller than the sum of its proper divisors (1075314421818).

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

389449386144 is a wasteful number, since it uses less digits than its factorization.

389449386144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 103 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 389449386144 in words is "three hundred eighty-nine billion, four hundred forty-nine million, three hundred eighty-six thousand, one hundred forty-four".