103119464448 has 1536 divisors, whose sum is σ = 433249689600. Its totient is φ = 23648993280.

The previous prime is 103119464381. The next prime is 103119464453. The reversal of 103119464448 is 844464911301.

103119464448 is a `hidden beast` number, since 10 + 3 + 1 + 194 + 6 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4483454965 + ... + 4483454987.

It is an arithmetic number, because the mean of its divisors is an integer number (282063600).

Almost surely, 2^103119464448 is an apocalyptic number.

103119464448 is a gapful number since it is divisible by the number (18) 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 103119464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216624844800).

103119464448 is an abundant number, since it is smaller than the sum of its proper divisors (330130225152).

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

103119464448 is an equidigital number, since it uses as much as digits as its factorization.

103119464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 103119464448 in words is "one hundred three billion, one hundred nineteen million, four hundred sixty-four thousand, four hundred forty-eight".