8532011814144 has 1152 divisors, whose sum is σ = 30658037760000. Its totient is φ = 2043071299584.

The previous prime is 8532011814121. The next prime is 8532011814167. The reversal of 8532011814144 is 4414181102358.

It is an interprime number because it is at equal distance from previous prime (8532011814121) and next prime (8532011814167).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8532011814096 and 8532011814105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5737734169 + ... + 5737735655.

It is an arithmetic number, because the mean of its divisors is an integer number (26612880000).

Almost surely, 2^{8532011814144} is an apocalyptic number.

8532011814144 is a gapful number since it is divisible by the number (84) 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 8532011814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15329018880000).

8532011814144 is an abundant number, since it is smaller than the sum of its proper divisors (22126025945856).

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

8532011814144 is a wasteful number, since it uses less digits than its factorization.

8532011814144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 8532011814144 in words is "eight trillion, five hundred thirty-two billion, eleven million, eight hundred fourteen thousand, one hundred forty-four".