248706777793600 has 567 divisors, whose sum is σ = 718560391470831. Its totient is φ = 84479092992000.

The previous prime is 248706777793583. The next prime is 248706777793601. The reversal of 248706777793600 is 6397777607842.

The square root of 248706777793600 is 15770440.

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 2394595312704 + 246312182480896 = 1547448^2 + 15694336^2 .

It is a super-2 number, since 2×248706777793600² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248706777793601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 666774203014 + ... + 666774203386.

Almost surely, 2^{248706777793600} is an apocalyptic number.

248706777793600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

248706777793600 is the 15770440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248706777793600

248706777793600 is an abundant number, since it is smaller than the sum of its proper divisors (469853613677231).

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

248706777793600 is an frugal number, since it uses more digits than its factorization.

248706777793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 1045529856, while the sum is 73.

The spelling of 248706777793600 in words is "two hundred forty-eight trillion, seven hundred six billion, seven hundred seventy-seven million, seven hundred ninety-three thousand, six hundred".