51476349456 has 405 divisors, whose sum is σ = 174626024391. Its totient is φ = 14113999872.

The previous prime is 51476349439. The next prime is 51476349467. The reversal of 51476349456 is 65494367415.

It is a happy number.

The square root of 51476349456 is 226884.

It is a perfect power (a square), and thus also a powerful number.

51476349456 is a `hidden beast` number, since 5 + 1 + 47 + 63 + 494 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12840515856 + 38635833600 = 113316^2 + 196560^2 .

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 705155436 + ... + 705155508.

Almost surely, 2^51476349456 is an apocalyptic number.

51476349456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

51476349456 is the 226884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51476349456

51476349456 is an abundant number, since it is smaller than the sum of its proper divisors (123149674935).

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

51476349456 is a wasteful number, since it uses less digits than its factorization.

51476349456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 122 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 51476349456 in words is "fifty-one billion, four hundred seventy-six million, three hundred forty-nine thousand, four hundred fifty-six".