102448644480 has 1792 divisors, whose sum is σ = 479478988800. Its totient is φ = 20316635136.

The previous prime is 102448644443. The next prime is 102448644481. The reversal of 102448644480 is 84446844201.

102448644480 is a `hidden beast` number, since 10 + 2 + 44 + 86 + 44 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102448644481) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 806682177 + ... + 806682303.

It is an arithmetic number, because the mean of its divisors is an integer number (267566400).

Almost surely, 2^102448644480 is an apocalyptic number.

102448644480 is a gapful number since it is divisible by the number (10) 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 102448644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239739494400).

102448644480 is an abundant number, since it is smaller than the sum of its proper divisors (377030344320).

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

102448644480 is a wasteful number, since it uses less digits than its factorization.

102448644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 102448644480 in words is "one hundred two billion, four hundred forty-eight million, six hundred forty-four thousand, four hundred eighty".