514811634000 has 80 divisors (see below), whose sum is σ = 1659752727360. Its totient is φ = 137283100800.

The previous prime is 514811633933. The next prime is 514811634023. The reversal of 514811634000 is 436118415.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42894970 + ... + 42906969.

It is an arithmetic number, because the mean of its divisors is an integer number (20746909092).

Almost surely, 2^514811634000 is an apocalyptic number.

514811634000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

514811634000 is an abundant number, since it is smaller than the sum of its proper divisors (1144941093360).

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

514811634000 is a wasteful number, since it uses less digits than its factorization.

514811634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85801965 (or 85801949 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 514811634000 in words is "five hundred fourteen billion, eight hundred eleven million, six hundred thirty-four thousand".