11752408148544 has 2240 divisors, whose sum is σ = 44710151270400. Its totient is φ = 3041851760640.

The previous prime is 11752408148539. The next prime is 11752408148557. The reversal of 11752408148544 is 44584180425711.

11752408148544 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 2 + 40 + 81 + 485 + 44 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 72100663407 + ... + 72100663569.

It is an arithmetic number, because the mean of its divisors is an integer number (19959888960).

Almost surely, 2^{11752408148544} is an apocalyptic number.

11752408148544 is a gapful number since it is divisible by the number (14) 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 11752408148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22355075635200).

11752408148544 is an abundant number, since it is smaller than the sum of its proper divisors (32957743121856).

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

11752408148544 is a wasteful number, since it uses less digits than its factorization.

11752408148544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 11752408148544 in words is "eleven trillion, seven hundred fifty-two billion, four hundred eight million, one hundred forty-eight thousand, five hundred forty-four".