386512748160 has 512 divisors, whose sum is σ = 1561228646400. Its totient is φ = 78995865600.

The previous prime is 386512748143. The next prime is 386512748173. The reversal of 386512748160 is 61847215683.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8996811 + ... + 9039669.

It is an arithmetic number, because the mean of its divisors is an integer number (3049274700).

Almost surely, 2^386512748160 is an apocalyptic number.

386512748160 is a gapful number since it is divisible by the number (30) 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 386512748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780614323200).

386512748160 is an abundant number, since it is smaller than the sum of its proper divisors (1174715898240).

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

386512748160 is a wasteful number, since it uses less digits than its factorization.

386512748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42960 (or 42948 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 386512748160 in words is "three hundred eighty-six billion, five hundred twelve million, seven hundred forty-eight thousand, one hundred sixty".