1125579456 has 112 divisors (see below), whose sum is σ = 3483254400. Its totient is φ = 355435776.

The previous prime is 1125579443. The next prime is 1125579457. The reversal of 1125579456 is 6549755211.

It is a happy number.

1125579456 is a `hidden beast` number, since 1 + 1 + 2 + 557 + 94 + 5 + 6 = 666.

It is a super-2 number, since 2×1125579456² = 2533858223538511872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1125579457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15691 + ... + 49973.

Almost surely, 2^1125579456 is an apocalyptic number.

1125579456 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 1125579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741627200).

1125579456 is an abundant number, since it is smaller than the sum of its proper divisors (2357674944).

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

1125579456 is a wasteful number, since it uses less digits than its factorization.

1125579456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34323 (or 34307 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 1125579456 is about 33549.6565705224. The cubic root of 1125579456 is about 1040.2204463658.

The spelling of 1125579456 in words is "one billion, one hundred twenty-five million, five hundred seventy-nine thousand, four hundred fifty-six".