386718349248 has 672 divisors, whose sum is σ = 1463863984128. Its totient is φ = 98294860800.

The previous prime is 386718349163. The next prime is 386718349319. The reversal of 386718349248 is 842943817683.

386718349248 is a `hidden beast` number, since 3 + 8 + 67 + 1 + 83 + 492 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56279253 + ... + 56286123.

It is an arithmetic number, because the mean of its divisors is an integer number (2178369024).

Almost surely, 2^386718349248 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 386718349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731931992064).

386718349248 is an abundant number, since it is smaller than the sum of its proper divisors (1077145634880).

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

386718349248 is a wasteful number, since it uses less digits than its factorization.

386718349248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6963 (or 6941 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 386718349248 in words is "three hundred eighty-six billion, seven hundred eighteen million, three hundred forty-nine thousand, two hundred forty-eight".