514425056544 has 480 divisors, whose sum is σ = 1862422087680. Its totient is φ = 136000747008.

The previous prime is 514425056533. The next prime is 514425056557. The reversal of 514425056544 is 445650524415.

514425056544 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 2 + 50 + 56 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 514425056544.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14806297 + ... + 14840999.

It is an arithmetic number, because the mean of its divisors is an integer number (3880046016).

Almost surely, 2^514425056544 is an apocalyptic number.

514425056544 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 514425056544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931211043840).

514425056544 is an abundant number, since it is smaller than the sum of its proper divisors (1347997031136).

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

514425056544 is a wasteful number, since it uses less digits than its factorization.

514425056544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34794 (or 34777 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 514425056544 in words is "five hundred fourteen billion, four hundred twenty-five million, fifty-six thousand, five hundred forty-four".