387144474624 has 168 divisors, whose sum is σ = 1119606749352. Its totient is φ = 128903086080.

The previous prime is 387144474611. The next prime is 387144474767. The reversal of 387144474624 is 426474441783.

387144474624 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 4 + 4 + 4 + 7 + 4 + 624 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80434842 + ... + 80439654.

It is an arithmetic number, because the mean of its divisors is an integer number (6664325889).

Almost surely, 2^387144474624 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 387144474624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559803374676).

387144474624 is an abundant number, since it is smaller than the sum of its proper divisors (732462274728).

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

387144474624 is a wasteful number, since it uses less digits than its factorization.

387144474624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5909 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 387144474624 in words is "three hundred eighty-seven billion, one hundred forty-four million, four hundred seventy-four thousand, six hundred twenty-four".