516144336111450 has 144 divisors (see below), whose sum is σ = 1432124705831040. Its totient is φ = 133196415010560.

The previous prime is 516144336111431. The next prime is 516144336111499. The reversal of 516144336111450 is 54111633441615.

It is a happy number.

516144336111450 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 443 + 3 + 61 + 1 + 145 + 0 = 666.

It is a super-2 number, since 2×516144336111450² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 516144336111396 and 516144336111405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135218704 + ... + 138983403.

It is an arithmetic number, because the mean of its divisors is an integer number (9945310457160).

Almost surely, 2^{516144336111450} is an apocalyptic number.

516144336111450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

516144336111450 is an abundant number, since it is smaller than the sum of its proper divisors (915980369719590).

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

516144336111450 is a wasteful number, since it uses less digits than its factorization.

516144336111450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274202261 (or 274202253 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 516144336111450 in words is "five hundred sixteen trillion, one hundred forty-four billion, three hundred thirty-six million, one hundred eleven thousand, four hundred fifty".