379513747312128 has 800 divisors, whose sum is σ = 1409063222619360. Its totient is φ = 99913094922240.

The previous prime is 379513747312127. The next prime is 379513747312157. The reversal of 379513747312128 is 821213747315973.

379513747312128 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 1 + 37 + 473 + 1 + 2 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379513747312127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98936268 + ... + 102700596.

Almost surely, 2^{379513747312128} 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 379513747312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704531611309680).

379513747312128 is an abundant number, since it is smaller than the sum of its proper divisors (1029549475307232).

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

379513747312128 is a wasteful number, since it uses less digits than its factorization.

379513747312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764400 (or 3764375 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 379513747312128 in words is "three hundred seventy-nine trillion, five hundred thirteen billion, seven hundred forty-seven million, three hundred twelve thousand, one hundred twenty-eight".