512162142544 has 80 divisors (see below), whose sum is σ = 1105981243920. Its totient is φ = 228131205120.

The previous prime is 512162142529. The next prime is 512162142551. The reversal of 512162142544 is 445241261215.

It can be written as a sum of positive squares in 8 ways, for example, as 6231523600 + 505930618944 = 78940^2 + 711288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14682564 + ... + 14717404.

It is an arithmetic number, because the mean of its divisors is an integer number (13824765549).

Almost surely, 2^512162142544 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 512162142544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552990621960).

512162142544 is an abundant number, since it is smaller than the sum of its proper divisors (593819101376).

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

512162142544 is a wasteful number, since it uses less digits than its factorization.

512162142544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37328 (or 37322 counting only the distinct ones).

The product of its digits is 76800, while the sum is 37.

The spelling of 512162142544 in words is "five hundred twelve billion, one hundred sixty-two million, one hundred forty-two thousand, five hundred forty-four".