248058695234660 has 48 divisors (see below), whose sum is σ = 570585315227760. Its totient is φ = 90166568325120.

The previous prime is 248058695234629. The next prime is 248058695234663. The reversal of 248058695234660 is 66432596850842.

248058695234660 is digitally balanced in base 2, 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 8 ways, for example, as 2847649500004 + 245211045734656 = 1687498^2 + 15659216^2 .

It is a Harshad number since it is a multiple of its sum of digits (68).

It is not an unprimeable number, because it can be changed into a prime (248058695234663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12579031481 + ... + 12579051200.

It is an arithmetic number, because the mean of its divisors is an integer number (11887194067245).

Almost surely, 2^{248058695234660} is an apocalyptic number.

248058695234660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248058695234660 is an abundant number, since it is smaller than the sum of its proper divisors (322526619993100).

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

248058695234660 is a wasteful number, since it uses less digits than its factorization.

248058695234660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25158082736 (or 25158082734 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 68.

The spelling of 248058695234660 in words is "two hundred forty-eight trillion, fifty-eight billion, six hundred ninety-five million, two hundred thirty-four thousand, six hundred sixty".