514044314100 has 216 divisors, whose sum is σ = 1758863710240. Its totient is φ = 129863710080.

The previous prime is 514044314099. The next prime is 514044314123. The reversal of 514044314100 is 1413440415.

514044314100 is a `hidden beast` number, since 514 + 0 + 4 + 4 + 3 + 141 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94987 + ... + 1018386.

Almost surely, 2^514044314100 is an apocalyptic number.

514044314100 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 514044314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879431855120).

514044314100 is an abundant number, since it is smaller than the sum of its proper divisors (1244819396140).

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

514044314100 is a wasteful number, since it uses less digits than its factorization.

514044314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113421 (or 1113402 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 514044314100 its reverse (1413440415), we get a palindrome (515457754515).

The spelling of 514044314100 in words is "five hundred fourteen billion, forty-four million, three hundred fourteen thousand, one hundred".