248913093100 has 72 divisors (see below), whose sum is σ = 617596249088. Its totient is φ = 85301294400.

The previous prime is 248913093047. The next prime is 248913093151. The reversal of 248913093100 is 1390319842.

248913093100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248913093100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417135 + ... + 1583065.

Almost surely, 2^248913093100 is an apocalyptic number.

248913093100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248913093100 is an abundant number, since it is smaller than the sum of its proper divisors (368683155988).

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

248913093100 is a wasteful number, since it uses less digits than its factorization.

248913093100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168095 (or 168088 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 248913093100 in words is "two hundred forty-eight billion, nine hundred thirteen million, ninety-three thousand, one hundred".