51801446214 has 512 divisors, whose sum is σ = 151289856000. Its totient is φ = 12802406400.

The previous prime is 51801446209. The next prime is 51801446227. The reversal of 51801446214 is 41264410815.

51801446214 is a `hidden beast` number, since 5 + 18 + 0 + 14 + 4 + 621 + 4 = 666.

It is a Curzon number.

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 255 ways as a sum of consecutive naturals, for example, 458419822 + ... + 458419934.

It is an arithmetic number, because the mean of its divisors is an integer number (295488000).

Almost surely, 2^51801446214 is an apocalyptic number.

51801446214 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51801446214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75644928000).

51801446214 is an abundant number, since it is smaller than the sum of its proper divisors (99488409786).

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

51801446214 is a wasteful number, since it uses less digits than its factorization.

51801446214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 51801446214 in words is "fifty-one billion, eight hundred one million, four hundred forty-six thousand, two hundred fourteen".