386452265472 has 1080 divisors, whose sum is σ = 1454287302468. Its totient is φ = 97913733120.

The previous prime is 386452265449. The next prime is 386452265483. The reversal of 386452265472 is 274562254683.

386452265472 is a `hidden beast` number, since 3 + 8 + 64 + 52 + 2 + 65 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 377664327936 + 8787937536 = 614544^2 + 93744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2820819388 + ... + 2820819524.

Almost surely, 2^386452265472 is an apocalyptic number.

386452265472 is a gapful number since it is divisible by the number (32) 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 386452265472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727143651234).

386452265472 is an abundant number, since it is smaller than the sum of its proper divisors (1067835036996).

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

386452265472 is a wasteful number, since it uses less digits than its factorization.

386452265472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 193 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 386452265472 in words is "three hundred eighty-six billion, four hundred fifty-two million, two hundred sixty-five thousand, four hundred seventy-two".