248059779136 has 63 divisors (see below), whose sum is σ = 533132526951. Its totient is φ = 114465222144.

The previous prime is 248059779119. The next prime is 248059779173. The reversal of 248059779136 is 631977950842.

The square root of 248059779136 is 498056.

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

248059779136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 154511886400 + 93547892736 = 393080^2 + 305856^2 .

It is a super-2 number, since 2×248059779136² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51795430 + ... + 51800218.

It is a 1-persistent number, because it is pandigital, but 2⋅248059779136 = 496119558272 is not.

Almost surely, 2^248059779136 is an apocalyptic number.

248059779136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

248059779136 is the 498056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248059779136

248059779136 is an abundant number, since it is smaller than the sum of its proper divisors (285072747815).

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

248059779136 is an frugal number, since it uses more digits than its factorization.

248059779136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9616 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 61.

The spelling of 248059779136 in words is "two hundred forty-eight billion, fifty-nine million, seven hundred seventy-nine thousand, one hundred thirty-six".