48179313441424 has 135 divisors (see below), whose sum is σ = 104077979323227. Its totient is φ = 21589696972800.

The previous prime is 48179313441349. The next prime is 48179313441433. The reversal of 48179313441424 is 42414431397184.

The square root of 48179313441424 is 6941132.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1830013728400 + 46349299713024 = 1352780^2 + 6808032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22294914904 + ... + 22294917064.

Almost surely, 2^{48179313441424} is an apocalyptic number.

48179313441424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

48179313441424 is the 6941132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48179313441424

48179313441424 is an abundant number, since it is smaller than the sum of its proper divisors (55898665881803).

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

48179313441424 is an frugal number, since it uses more digits than its factorization.

48179313441424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4498 (or 2247 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 55.

The spelling of 48179313441424 in words is "forty-eight trillion, one hundred seventy-nine billion, three hundred thirteen million, four hundred forty-one thousand, four hundred twenty-four".