11484369720 has 192 divisors, whose sum is σ = 39751845120. Its totient is φ = 2865426432.

The previous prime is 11484369719. The next prime is 11484369733. The reversal of 11484369720 is 2796348411.

11484369720 is a `hidden beast` number, since 1 + 148 + 436 + 9 + 72 + 0 = 666.

It is a super-3 number, since 3×11484369720³ (a number of 31 digits) contains 333 as substring.

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, 1053337 + ... + 1064183.

It is an arithmetic number, because the mean of its divisors is an integer number (207040860).

Almost surely, 2^11484369720 is an apocalyptic number.

11484369720 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 11484369720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19875922560).

11484369720 is an abundant number, since it is smaller than the sum of its proper divisors (28267475400).

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

11484369720 is a wasteful number, since it uses less digits than its factorization.

11484369720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11054 (or 11047 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11484369720 in words is "eleven billion, four hundred eighty-four million, three hundred sixty-nine thousand, seven hundred twenty".