387393026112 has 196 divisors, whose sum is σ = 1154856992796. Its totient is φ = 128875069440.

The previous prime is 387393026093. The next prime is 387393026129. The reversal of 387393026112 is 211620393783.

387393026112 is a `hidden beast` number, since 387 + 3 + 9 + 3 + 0 + 261 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 191129849856 + 196263176256 = 437184^2 + 443016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 24299808 + ... + 24315744.

Almost surely, 2^387393026112 is an apocalyptic number.

387393026112 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 387393026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577428496398).

387393026112 is an abundant number, since it is smaller than the sum of its proper divisors (767463966684).

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

387393026112 is an equidigital number, since it uses as much as digits as its factorization.

387393026112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16488 (or 16463 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 387393026112 in words is "three hundred eighty-seven billion, three hundred ninety-three million, twenty-six thousand, one hundred twelve".