103457648448 has 504 divisors, whose sum is σ = 392157671360. Its totient is φ = 25455513600.

The previous prime is 103457648419. The next prime is 103457648479. The reversal of 103457648448 is 844846754301.

103457648448 is a `hidden beast` number, since 10 + 3 + 45 + 76 + 484 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 103457648394 and 103457648403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9263988 + ... + 9275148.

Almost surely, 2^103457648448 is an apocalyptic number.

103457648448 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 103457648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196078835680).

103457648448 is an abundant number, since it is smaller than the sum of its proper divisors (288700022912).

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

103457648448 is a wasteful number, since it uses less digits than its factorization.

103457648448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11227 (or 11203 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 103457648448 in words is "one hundred three billion, four hundred fifty-seven million, six hundred forty-eight thousand, four hundred forty-eight".