514098841800 has 192 divisors, whose sum is σ = 1601683200000. Its totient is φ = 136408654080.

The previous prime is 514098841783. The next prime is 514098841813. The reversal of 514098841800 is 8148890415.

It is a self number, because there is not a number n which added to its sum of digits gives 514098841800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107482209 + ... + 107486991.

It is an arithmetic number, because the mean of its divisors is an integer number (8342100000).

Almost surely, 2^514098841800 is an apocalyptic number.

514098841800 is a gapful number since it is divisible by the number (50) 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 514098841800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800841600000).

514098841800 is an abundant number, since it is smaller than the sum of its proper divisors (1087584358200).

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

514098841800 is a wasteful number, since it uses less digits than its factorization.

514098841800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 514098841800 in words is "five hundred fourteen billion, ninety-eight million, eight hundred forty-one thousand, eight hundred".