248064564100 has 36 divisors (see below), whose sum is σ = 545881811328. Its totient is φ = 97828276000.

The previous prime is 248064564071. The next prime is 248064564109. The reversal of 248064564100 is 1465460842.

248064564100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248064564109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17462236 + ... + 17476435.

It is an arithmetic number, because the mean of its divisors is an integer number (15163383648).

Almost surely, 2^248064564100 is an apocalyptic number.

248064564100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248064564100 is an abundant number, since it is smaller than the sum of its proper divisors (297817247228).

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

248064564100 is a wasteful number, since it uses less digits than its factorization.

248064564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34938756 (or 34938749 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 248064564100 in words is "two hundred forty-eight billion, sixty-four million, five hundred sixty-four thousand, one hundred".