512113350144000 has 832 divisors, whose sum is σ = 1876085847567360. Its totient is φ = 123009269760000.

The previous prime is 512113350143999. The next prime is 512113350144041. The reversal of 512113350144000 is 441053311215.

It is a super-2 number, since 2×512113350144000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1841524965 + ... + 1841803035.

It is an arithmetic number, because the mean of its divisors is an integer number (2254910874480).

Almost surely, 2^{512113350144000} is an apocalyptic number.

512113350144000 is a gapful number since it is divisible by the number (50) 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 512113350144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938042923783680).

512113350144000 is an abundant number, since it is smaller than the sum of its proper divisors (1363972497423360).

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

512113350144000 is a wasteful number, since it uses less digits than its factorization.

512113350144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278233 (or 278201 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 512113350144000 in words is "five hundred twelve trillion, one hundred thirteen billion, three hundred fifty million, one hundred forty-four thousand".