386154146664 has 960 divisors, whose sum is σ = 1366952294400. Its totient is φ = 100877736960.

The previous prime is 386154146657. The next prime is 386154146689. The reversal of 386154146664 is 466641451683.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 386154146664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2459580474 + ... + 2459580630.

It is an arithmetic number, because the mean of its divisors is an integer number (1423908640).

Almost surely, 2^386154146664 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 386154146664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683476147200).

386154146664 is an abundant number, since it is smaller than the sum of its proper divisors (980798147736).

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

386154146664 is a wasteful number, since it uses less digits than its factorization.

386154146664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 332 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 386154146664 in words is "three hundred eighty-six billion, one hundred fifty-four million, one hundred forty-six thousand, six hundred sixty-four".