386148581640 has 320 divisors, whose sum is σ = 1370211163200. Its totient is φ = 97266811392.

The previous prime is 386148581627. The next prime is 386148581669. The reversal of 386148581640 is 46185841683.

386148581640 is a `hidden beast` number, since 3 + 8 + 6 + 14 + 8 + 581 + 6 + 40 = 666.

It is a super-3 number, since 3×386148581640³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21352282 + ... + 21370358.

It is an arithmetic number, because the mean of its divisors is an integer number (4281909885).

Almost surely, 2^386148581640 is an apocalyptic number.

386148581640 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 386148581640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685105581600).

386148581640 is an abundant number, since it is smaller than the sum of its proper divisors (984062581560).

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

386148581640 is a wasteful number, since it uses less digits than its factorization.

386148581640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18466 (or 18453 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 386148581640 in words is "three hundred eighty-six billion, one hundred forty-eight million, five hundred eighty-one thousand, six hundred forty".