1113829772160 has 768 divisors, whose sum is σ = 4208875776000. Its totient is φ = 250439454720.

The previous prime is 1113829772129. The next prime is 1113829772161. The reversal of 1113829772160 is 612779283111.

It is a super-2 number, since 2×1113829772160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113829772161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4110072825 + ... + 4110073095.

It is an arithmetic number, because the mean of its divisors is an integer number (5480307000).

Almost surely, 2^{1113829772160} is an apocalyptic number.

1113829772160 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 1113829772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104437888000).

1113829772160 is an abundant number, since it is smaller than the sum of its proper divisors (3095046003840).

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

1113829772160 is an frugal number, since it uses more digits than its factorization.

1113829772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The spelling of 1113829772160 in words is "one trillion, one hundred thirteen billion, eight hundred twenty-nine million, seven hundred seventy-two thousand, one hundred sixty".