514849436640 has 864 divisors, whose sum is σ = 2236123169280. Its totient is φ = 106667366400.

The previous prime is 514849436597. The next prime is 514849436641. The reversal of 514849436640 is 46634948415.

514849436640 is a `hidden beast` number, since 5 + 1 + 484 + 94 + 36 + 6 + 40 = 666.

It is a super-3 number, since 3×514849436640³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514849436641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 340733485 + ... + 340734995.

It is an arithmetic number, because the mean of its divisors is an integer number (2588105520).

Almost surely, 2^514849436640 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 514849436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118061584640).

514849436640 is an abundant number, since it is smaller than the sum of its proper divisors (1721273732640).

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

514849436640 is a wasteful number, since it uses less digits than its factorization.

514849436640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 514849436640 in words is "five hundred fourteen billion, eight hundred forty-nine million, four hundred thirty-six thousand, six hundred forty".