248620203936 has 144 divisors (see below), whose sum is σ = 763412700960. Its totient is φ = 76296245760.

The previous prime is 248620203917. The next prime is 248620203941. The reversal of 248620203936 is 639302026842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 248620203891 and 248620203900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1331371 + ... + 1506581.

It is an arithmetic number, because the mean of its divisors is an integer number (5301477090).

Almost surely, 2^248620203936 is an apocalyptic number.

248620203936 is a gapful number since it is divisible by the number (26) 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 248620203936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381706350480).

248620203936 is an abundant number, since it is smaller than the sum of its proper divisors (514792497024).

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

248620203936 is a wasteful number, since it uses less digits than its factorization.

248620203936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175619 (or 175608 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 248620203936 in words is "two hundred forty-eight billion, six hundred twenty million, two hundred three thousand, nine hundred thirty-six".