379069514748288 has 3072 divisors, whose sum is σ = 1501791363072000. Its totient is φ = 92492287672320.

The previous prime is 379069514748241. The next prime is 379069514748313. The reversal of 379069514748288 is 882847415960973.

379069514748288 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 6 + 9 + 51 + 4 + 7 + 482 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 191545989283 + ... + 191545991261.

It is an arithmetic number, because the mean of its divisors is an integer number (488864376000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅379069514748288 = 758139029496576, but 3⋅379069514748288 = 1137208544244864 is not.

Almost surely, 2^{379069514748288} 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 379069514748288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750895681536000).

379069514748288 is an abundant number, since it is smaller than the sum of its proper divisors (1122721848323712).

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

379069514748288 is a wasteful number, since it uses less digits than its factorization.

379069514748288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 81.

The spelling of 379069514748288 in words is "three hundred seventy-nine trillion, sixty-nine billion, five hundred fourteen million, seven hundred forty-eight thousand, two hundred eighty-eight".