1438179190848 has 168 divisors, whose sum is σ = 4156545990168. Its totient is φ = 475424022528.

The previous prime is 1438179190831. The next prime is 1438179190859. The reversal of 1438179190848 is 8480919718341.

1438179190848 is a `hidden beast` number, since 1 + 4 + 381 + 7 + 91 + 90 + 84 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23240392704 + 1414938798144 = 152448^2 + 1189512^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35496490 + ... + 35536982.

Almost surely, 2^{1438179190848} is an apocalyptic number.

1438179190848 is a gapful number since it is divisible by the number (18) 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 1438179190848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078272995084).

1438179190848 is an abundant number, since it is smaller than the sum of its proper divisors (2718366799320).

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

1438179190848 is a wasteful number, since it uses less digits than its factorization.

1438179190848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41021 (or 41008 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 1438179190848 in words is "one trillion, four hundred thirty-eight billion, one hundred seventy-nine million, one hundred ninety thousand, eight hundred forty-eight".