11145458761920 has 2016 divisors, whose sum is σ = 47677828423680. Its totient is φ = 2469976104960.

The previous prime is 11145458761867. The next prime is 11145458761939. The reversal of 11145458761920 is 2916785454111.

It is a happy number.

11145458761920 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 54 + 587 + 6 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18361546257 + ... + 18361546863.

It is an arithmetic number, because the mean of its divisors is an integer number (23649716480).

Almost surely, 2^{11145458761920} is an apocalyptic number.

11145458761920 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 11145458761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23838914211840).

11145458761920 is an abundant number, since it is smaller than the sum of its proper divisors (36532369661760).

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

11145458761920 is an equidigital number, since it uses as much as digits as its factorization.

11145458761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 11145458761920 in words is "eleven trillion, one hundred forty-five billion, four hundred fifty-eight million, seven hundred sixty-one thousand, nine hundred twenty".