386553898628676 has 81 divisors (see below), whose sum is σ = 980309318438359. Its totient is φ = 128432402830848.

The previous prime is 386553898628603. The next prime is 386553898628731. The reversal of 386553898628676 is 676826898355683.

The square root of 386553898628676 is 19660974.

It is a perfect power (a square), and thus also a powerful number.

386553898628676 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 5 + 389 + 86 + 2 + 86 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 314059572419076 + 72494326209600 = 17721726^2 + 8514360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37395167380 + ... + 37395177716.

Almost surely, 2^{386553898628676} is an apocalyptic number.

386553898628676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

386553898628676 is the 19660974-th square number.

It is an amenable number.

386553898628676 is an abundant number, since it is smaller than the sum of its proper divisors (593755419809683).

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

386553898628676 is an frugal number, since it uses more digits than its factorization.

386553898628676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21318 (or 10659 counting only the distinct ones).

The product of its digits is 150493593600, while the sum is 90.

The spelling of 386553898628676 in words is "three hundred eighty-six trillion, five hundred fifty-three billion, eight hundred ninety-eight million, six hundred twenty-eight thousand, six hundred seventy-six".