379014774912 has 448 divisors, whose sum is σ = 1197225856800. Its totient is φ = 119131803648.

The previous prime is 379014774863. The next prime is 379014774917. The reversal of 379014774912 is 219477410973.

It is a happy number.

379014774912 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 147 + 7 + 491 + 2 = 666.

It is a super-3 number, since 3×379014774912³ (a number of 36 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (379014774917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 554926123 + ... + 554926805.

Almost surely, 2^379014774912 is an apocalyptic number.

379014774912 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 379014774912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598612928400).

379014774912 is an abundant number, since it is smaller than the sum of its proper divisors (818211081888).

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

379014774912 is an equidigital number, since it uses as much as digits as its factorization.

379014774912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 379014774912 in words is "three hundred seventy-nine billion, fourteen million, seven hundred seventy-four thousand, nine hundred twelve".