1133845171920 has 240 divisors, whose sum is σ = 4093526211840. Its totient is φ = 280350360576.

The previous prime is 1133845171903. The next prime is 1133845171937. The reversal of 1133845171920 is 291715483311.

1133845171920 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 8 + 451 + 7 + 192 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1133845171903) and next prime (1133845171937).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238779 + ... + 1524698.

It is an arithmetic number, because the mean of its divisors is an integer number (17056359216).

Almost surely, 2^{1133845171920} is an apocalyptic number.

1133845171920 is a gapful number since it is divisible by the number (10) 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 1133845171920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046763105920).

1133845171920 is an abundant number, since it is smaller than the sum of its proper divisors (2959681039920).

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

1133845171920 is a wasteful number, since it uses less digits than its factorization.

1133845171920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763562 (or 1763553 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1133845171920 in words is "one trillion, one hundred thirty-three billion, eight hundred forty-five million, one hundred seventy-one thousand, nine hundred twenty".