11445141693528 has 192 divisors, whose sum is σ = 32149900823040. Its totient is φ = 3675738108672.

The previous prime is 11445141693499. The next prime is 11445141693563. The reversal of 11445141693528 is 82539614154411.

11445141693528 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 5 + 14 + 16 + 93 + 528 = 666.

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, 167766001 + ... + 167834207.

It is an arithmetic number, because the mean of its divisors is an integer number (167447400120).

Almost surely, 2^{11445141693528} is an apocalyptic number.

11445141693528 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 11445141693528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16074950411520).

11445141693528 is an abundant number, since it is smaller than the sum of its proper divisors (20704759129512).

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

11445141693528 is a wasteful number, since it uses less digits than its factorization.

11445141693528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68998 (or 68991 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 11445141693528 in words is "eleven trillion, four hundred forty-five billion, one hundred forty-one million, six hundred ninety-three thousand, five hundred twenty-eight".