1148561856 has 504 divisors, whose sum is σ = 4060667520. Its totient is φ = 320246784.

The previous prime is 1148561851. The next prime is 1148561867. The reversal of 1148561856 is 6581658411.

1148561856 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 561 + 85 + 6 = 666.

Its product of digits (230400) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148561851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49937461 + ... + 49937483.

It is an arithmetic number, because the mean of its divisors is an integer number (8056880).

Almost surely, 2^1148561856 is an apocalyptic number.

1148561856 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 1148561856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030333760).

1148561856 is an abundant number, since it is smaller than the sum of its proper divisors (2912105664).

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

1148561856 is a wasteful number, since it uses less digits than its factorization.

1148561856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 1148561856 is about 33890.4390057137. The cubic root of 1148561856 is about 1047.2526381090.

The spelling of 1148561856 in words is "one billion, one hundred forty-eight million, five hundred sixty-one thousand, eight hundred fifty-six".