514949089374720 has 6720 divisors, whose sum is σ = 2581058683171584. Its totient is φ = 96777413591040.

The previous prime is 514949089374641. The next prime is 514949089374721. The reversal of 514949089374720 is 27473980949415.

514949089374720 is a `hidden beast` number, since 5 + 1 + 4 + 9 + 49 + 0 + 89 + 37 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (514949089374721) 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 671 ways as a sum of consecutive naturals, for example, 693067414669 + ... + 693067415411.

Almost surely, 2^{514949089374720} 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 514949089374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290529341585792).

514949089374720 is an abundant number, since it is smaller than the sum of its proper divisors (2066109593796864).

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

514949089374720 is a wasteful number, since it uses less digits than its factorization.

514949089374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 514949089374720 in words is "five hundred fourteen trillion, nine hundred forty-nine billion, eighty-nine million, three hundred seventy-four thousand, seven hundred twenty".