1013096448 has 336 divisors, whose sum is σ = 3625754496. Its totient is φ = 265420800.

The previous prime is 1013096417. The next prime is 1013096449. The reversal of 1013096448 is 8446903101.

1013096448 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 0 + 9 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1013096449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6709173 + ... + 6709323.

It is an arithmetic number, because the mean of its divisors is an integer number (10790936).

Almost surely, 2^1013096448 is an apocalyptic number.

1013096448 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 1013096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812877248).

1013096448 is an abundant number, since it is smaller than the sum of its proper divisors (2612658048).

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

1013096448 is a wasteful number, since it uses less digits than its factorization.

1013096448 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1013096448 is about 31829.1760496561. The cubic root of 1013096448 is about 1004.3465626868.

Adding to 1013096448 its reverse (8446903101), we get a palindrome (9459999549).

The spelling of 1013096448 in words is "one billion, thirteen million, ninety-six thousand, four hundred forty-eight".