51416471232 has 336 divisors, whose sum is σ = 171851929600. Its totient is φ = 14394931200.

The previous prime is 51416471213. The next prime is 51416471233. The reversal of 51416471232 is 23217461415.

51416471232 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 647 + 1 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51416471233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48097194 + ... + 48098262.

Almost surely, 2^51416471232 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 51416471232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85925964800).

51416471232 is an abundant number, since it is smaller than the sum of its proper divisors (120435458368).

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

51416471232 is a wasteful number, since it uses less digits than its factorization.

51416471232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1311 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 51416471232 in words is "fifty-one billion, four hundred sixteen million, four hundred seventy-one thousand, two hundred thirty-two".