11484860515128 has 1536 divisors, whose sum is σ = 45460382284800. Its totient is φ = 2638340812800.

The previous prime is 11484860515069. The next prime is 11484860515133. The reversal of 11484860515128 is 82151506848411.

11484860515128 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 4 + 8 + 605 + 1 + 5 + 1 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3751994718 + ... + 3751997778.

It is an arithmetic number, because the mean of its divisors is an integer number (29596603050).

Almost surely, 2^{11484860515128} is an apocalyptic number.

11484860515128 is a gapful number since it is divisible by the number (18) 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 11484860515128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22730191142400).

11484860515128 is an abundant number, since it is smaller than the sum of its proper divisors (33975521769672).

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

11484860515128 is a wasteful number, since it uses less digits than its factorization.

11484860515128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 11484860515128 in words is "eleven trillion, four hundred eighty-four billion, eight hundred sixty million, five hundred fifteen thousand, one hundred twenty-eight".