514415145542112 has 480 divisors, whose sum is σ = 1581441230033280. Its totient is φ = 163889639746560.

The previous prime is 514415145542063. The next prime is 514415145542113. The reversal of 514415145542112 is 211245541514415.

514415145542112 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 1 + 51 + 45 + 542 + 1 + 12 = 666.

It is a super-2 number, since 2×514415145542112² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514415145542113) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2238701787 + ... + 2238931557.

It is an arithmetic number, because the mean of its divisors is an integer number (3294669229236).

Almost surely, 2^{514415145542112} 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 514415145542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790720615016640).

514415145542112 is an abundant number, since it is smaller than the sum of its proper divisors (1067026084491168).

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

514415145542112 is a wasteful number, since it uses less digits than its factorization.

514415145542112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230268 (or 230251 counting only the distinct ones).

The product of its digits is 640000, while the sum is 45.

The spelling of 514415145542112 in words is "five hundred fourteen trillion, four hundred fifteen billion, one hundred forty-five million, five hundred forty-two thousand, one hundred twelve".