11411753472 has 480 divisors, whose sum is σ = 41648048640. Its totient is φ = 3065610240.

The previous prime is 11411753467. The next prime is 11411753473. The reversal of 11411753472 is 27435711411.

11411753472 is a `hidden beast` number, since 1 + 1 + 4 + 117 + 534 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11411753473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11514897 + ... + 11515887.

It is an arithmetic number, because the mean of its divisors is an integer number (86766768).

Almost surely, 2^11411753472 is an apocalyptic number.

11411753472 is a gapful number since it is divisible by the number (12) 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 11411753472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20824024320).

11411753472 is an abundant number, since it is smaller than the sum of its proper divisors (30236295168).

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

11411753472 is an equidigital number, since it uses as much as digits as its factorization.

11411753472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1020 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The spelling of 11411753472 in words is "eleven billion, four hundred eleven million, seven hundred fifty-three thousand, four hundred seventy-two".