1000113456 has 80 divisors (see below), whose sum is σ = 2644275200. Its totient is φ = 325638144.

The previous prime is 1000113449. The next prime is 1000113497. The reversal of 1000113456 is 6543110001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366465 + ... + 369183.

It is an arithmetic number, because the mean of its divisors is an integer number (33053440).

Almost surely, 2^1000113456 is an apocalyptic number.

1000113456 is a gapful number since it is divisible by the number (16) 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 1000113456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322137600).

1000113456 is an abundant number, since it is smaller than the sum of its proper divisors (1644161744).

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

1000113456 is a wasteful number, since it uses less digits than its factorization.

1000113456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1000113456 is about 31624.5704476756. The cubic root of 1000113456 is about 1000.0378172365.

Adding to 1000113456 its reverse (6543110001), we get a palindrome (7543223457).

The spelling of 1000113456 in words is "one billion, one hundred thirteen thousand, four hundred fifty-six".