514800003744 has 144 divisors (see below), whose sum is σ = 1577406285000. Its totient is φ = 158316484608.

The previous prime is 514800003727. The next prime is 514800003763. The reversal of 514800003744 is 447300008415.

It can be written as a sum of positive squares in 4 ways, for example, as 509778864144 + 5021139600 = 713988^2 + 70860^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 514800003699 and 514800003708.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7261782 + ... + 7332330.

Almost surely, 2^514800003744 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 514800003744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788703142500).

514800003744 is an abundant number, since it is smaller than the sum of its proper divisors (1062606281256).

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

514800003744 is a wasteful number, since it uses less digits than its factorization.

514800003744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72527 (or 72516 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 514800003744 in words is "five hundred fourteen billion, eight hundred million, three thousand, seven hundred forty-four".