11454113020 has 96 divisors (see below), whose sum is σ = 28058825088. Its totient is φ = 3846116352.

The previous prime is 11454113017. The next prime is 11454113023. The reversal of 11454113020 is 2031145411.

It is an interprime number because it is at equal distance from previous prime (11454113017) and next prime (11454113023).

It is a super-3 number, since 3×11454113020³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11454112982 and 11454113000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11454113023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5734662 + ... + 5736658.

It is an arithmetic number, because the mean of its divisors is an integer number (292279428).

Almost surely, 2^11454113020 is an apocalyptic number.

11454113020 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 11454113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14029412544).

11454113020 is an abundant number, since it is smaller than the sum of its proper divisors (16604712068).

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

11454113020 is a wasteful number, since it uses less digits than its factorization.

11454113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 11454113020 its reverse (2031145411), we get a palindrome (13485258431).

The spelling of 11454113020 in words is "eleven billion, four hundred fifty-four million, one hundred thirteen thousand, twenty".