102148436448 has 96 divisors (see below), whose sum is σ = 301611330720. Its totient is φ = 34049455488.

The previous prime is 102148436447. The next prime is 102148436477. The reversal of 102148436448 is 844634841201.

102148436448 is a `hidden beast` number, since 102 + 1 + 484 + 3 + 64 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (102148436447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659815 + ... + 799782.

It is an arithmetic number, because the mean of its divisors is an integer number (3141784695).

Almost surely, 2^102148436448 is an apocalyptic number.

102148436448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102148436448 is an abundant number, since it is smaller than the sum of its proper divisors (199462894272).

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

102148436448 is an frugal number, since it uses more digits than its factorization.

102148436448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459628 (or 1459602 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 102148436448 in words is "one hundred two billion, one hundred forty-eight million, four hundred thirty-six thousand, four hundred forty-eight".