512162886144 has 640 divisors, whose sum is σ = 1825003192320. Its totient is φ = 123818803200.

The previous prime is 512162886083. The next prime is 512162886161. The reversal of 512162886144 is 441688261215.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 512162886093 and 512162886102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82324954 + ... + 82331174.

It is an arithmetic number, because the mean of its divisors is an integer number (2851567488).

Almost surely, 2^512162886144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512162886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912501596160).

512162886144 is an abundant number, since it is smaller than the sum of its proper divisors (1312840306176).

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

512162886144 is a wasteful number, since it uses less digits than its factorization.

512162886144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6296 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The spelling of 512162886144 in words is "five hundred twelve billion, one hundred sixty-two million, eight hundred eighty-six thousand, one hundred forty-four".