512004545010144 has 192 divisors, whose sum is σ = 1501598408647680. Its totient is φ = 169725722664960.

The previous prime is 512004545010067. The next prime is 512004545010209. The reversal of 512004545010144 is 441010545400215.

512004545010144 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 0 + 4 + 5 + 4 + 501 + 0 + 144 = 666.

It is a super-2 number, since 2×512004545010144² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 512004545010099 and 512004545010108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487558599 + ... + 488607609.

It is an arithmetic number, because the mean of its divisors is an integer number (7820825045040).

Almost surely, 2^{512004545010144} is an apocalyptic number.

512004545010144 is a gapful number since it is divisible by the number (54) 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 512004545010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750799204323840).

512004545010144 is an abundant number, since it is smaller than the sum of its proper divisors (989593863637536).

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

512004545010144 is a wasteful number, since it uses less digits than its factorization.

512004545010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052150 (or 1052136 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 512004545010144 in words is "five hundred twelve trillion, four billion, five hundred forty-five million, ten thousand, one hundred forty-four".