1121845248 has 144 divisors (see below), whose sum is σ = 3334458960. Its totient is φ = 372768768.

The previous prime is 1121845247. The next prime is 1121845259. The reversal of 1121845248 is 8425481211.

1121845248 is a `hidden beast` number, since 1 + 121 + 8 + 4 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121845243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3538786 + ... + 3539102.

It is an arithmetic number, because the mean of its divisors is an integer number (23155965).

Almost surely, 2^1121845248 is an apocalyptic number.

1121845248 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 1121845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667229480).

1121845248 is an abundant number, since it is smaller than the sum of its proper divisors (2212613712).

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

1121845248 is an frugal number, since it uses more digits than its factorization.

1121845248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 322 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 1121845248 is about 33493.9583805796. The cubic root of 1121845248 is about 1039.0688312169.

The spelling of 1121845248 in words is "one billion, one hundred twenty-one million, eight hundred forty-five thousand, two hundred forty-eight".